Study characterizes specific almost Kenmotsu metrics meeting Miao-Tam equation.
problem Characterizing almost Kenmotsu metrics.
method Characterization through Miao-Tam equation.
result Characterized specific almost Kenmotsu metrics.
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48 results for “almost Kenmotsu metrics”
The paper characterizes Kenmotsu metrics as almost -Ricci solitons.
problem Characterizing Kenmotsu metrics as almost -Ricci solitons.
method Analyzing the geometry of almost contact metrics through -Ricci solitons.
result Kenmotsu metrics are characterized as almost -Ricci solitons under specific conditions.
The paper explores -conformal -Ricci solitons in Kenmotsu manifolds.
problem Characterizing -conformal -Ricci solitons in Kenmotsu manifolds.
method Analyzing the properties of Kenmotsu metrics and manifolds under -conformal -Ricci solitons.
result Kenmotsu metrics as -conformal -Ricci solitons are Einstein if the soliton vector field is contact.
The paper explores the critical point equation on Kenmotsu and almost Kenmotsu manifolds.
problem Investigating the critical point equation on specific types of manifolds.
method Analyzing Kenmotsu and almost Kenmotsu manifolds with nullity conditions.
result Complete Kenmotsu metrics satisfying the CPE are Einstein and locally isometric to H2n+1.
In 1972, K. Kenmotsu studied a class of almost contact Riemannian manifolds. Later, such a manifold was called a Kenmotsu manifold. This paper, we studied Kenmotsu manifolds with -dimensional contact metric manifold and this manifold, we have called generalized Kenmotsu manifolds. Necessary and sufficient c…
The paper studies critical metrics on a specific type of manifold.
problem Investigating critical metrics on almost Kenmotsu manifolds.
method Introducing and studying the -Miao-Tam critical equation on -dimensional -almost Kenmotsu manifolds.
result If a -dimensional -almost Kenmotsu manifold satisfies the -Miao-Tam critical equation, it is -Ricci flat and locally isometric to a specific product of manifolds.
The paper characterizes Einstein metrics in Kenmotsu manifolds using specific soliton types.
problem Characterizing Einstein metrics in Kenmotsu manifolds using specific soliton types.
method Proving properties of Kenmotsu metrics as -Ricci solitons and gradient -Ricci solitons.
result Kenmotsu metrics as -Ricci solitons are Einstein if certain conditions are met.
Study on Ricci solitons and Einstein metrics in weak β-Kenmotsu manifolds.
problem Characterizing Einstein metrics in weak β-Kenmotsu manifolds.
method Adapted -Ricci tensor to weak almost contact manifolds and studied its interaction with weak β-Kenmotsu structures.
result New characteristics of Einstein metrics obtained.
The paper characterizes a class of almost Kenmotsu manifolds with quasi Yamabe solitons.
problem Characterizing almost Kenmotsu manifolds with quasi Yamabe solitons.
method Analyzing the properties of quasi Yamabe solitons on -almost Kenmotsu manifolds.
result If a -almost Kenmotsu manifold admits a quasi Yamabe soliton, then is a constant multiple of , is a strict infinitesimal contact transformation, and for any vector field .
The paper characterizes specific almost Kenmotsu manifolds with Ricci-Yamabe solitons.
problem Characterizing almost Kenmotsu manifolds with Ricci-Yamabe solitons.
method Analyzing curvature properties and potential vector fields.
result Locally isometric structures of specific almost Kenmotsu manifolds.
We study -homothetic deformations of almost -Kenmotsu structures. We characterize almost contact metric manifolds which are -integrable almost -Kenmotsu manifolds, through the existence of a canonical linear connection, invariant under -homothetic deformations. If the canonical connect…
The study examines Riemann solitons and almost solitons on specific Kenmotsu manifolds.
problem Characterizing solitons on Kenmotsu manifolds.
method Analysis of Riemann solitons and gradient almost Riemann solitons on almost Kenmotsu manifolds.
result Construction of examples of Kenmotsu and -almost Kenmotsu manifolds.
We study the Riemann curvature tensor of (κ,μ,ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of the contact metric (κ,μ,ν)-spaces. We present examples or obstruction results of these spaces in…
No Ricci solitons found in almost Kenmotsu manifolds.
problem Existence of Ricci solitons in almost Kenmotsu manifolds.
method Analyzing the Reeb potential vector field in .
result No Ricci solitons exist in almost Kenmotsu manifolds.
The paper studies -Ricci solitons and gradient almost -Ricci solitons on Kenmotsu manifolds.
problem Investigating properties of -Ricci solitons and gradient almost -Ricci solitons on Kenmotsu manifolds.
method Analyzing the metric properties and vector fields of Kenmotsu manifolds to derive conditions for -Ricci solitons and gradient almost -Ricci solitons.
result Characterizations of -Ricci solitons and gradient almost -Ricci solitons on Kenmotsu manifolds, including conditions for constant curvature and Einstein metrics.
For a finite family of 3-dimensional almost contact metric manifolds with closed the structure form is described a construction of an almost contact metric manifold, where the members of the family are building blocks - cells. Obtained manifold share many properties of cells. One of the more important are nullity c…
The study characterizes almost Kenmotsu manifolds with specific vector fields.
problem Characterizing almost Kenmotsu manifolds with holomorphically planar conformal vector fields.
method Analyzing properties of vector fields and curvature conditions.
result Classification of almost Kenmotsu manifolds as Kenmotsu or having specific geometric properties.
The study examines almost Ricci-Yamabe solitons on almost Kenmotsu manifolds and their properties.
problem Characterizing almost Ricci-Yamabe solitons on almost Kenmotsu manifolds.
method Analyzing the conditions for almost Ricci-Yamabe solitons to be η-Einstein and proving local isometry for certain manifolds.
result Properties of almost Ricci-Yamabe solitons on -dimensional -AKMs.
The paper studies a new soliton on Kenmotsu manifolds and derives its scalar curvature.
problem Characterizing a new soliton on Kenmotsu manifolds.
method Analyzing the -Ricci-Bourguignon almost soliton on Kenmotsu structure manifolds.
result Derivation of the scalar curvature for a Kenmotsu manifold with the -Ricci-Bourguignon soliton.
Paper finds a new inequality for submanifolds in specific geometric spaces.
problem Finding geometric inequalities for submanifolds in specific spaces.
method Developed a new inequality using Legendrian submanifolds in almost Kenmotsu manifolds.
result Obtained a generalized Wintgen inequality for Legendrian submanifolds.
Study on solitons in deformed Kenmotsu manifolds with specific vector fields.
problem Analyzing geometric solitons in deformed Kenmotsu manifolds.
method Examined almost Riemann and Ricci solitons in a -homothetically deformed Kenmotsu manifold with specific vector fields.
result Explicitly obtained Ricci and scalar curvatures for some cases, provided a lower bound for Ricci curvature.
The paper explores properties of conformal vector fields on almost Kenmotsu manifolds.
problem Characterizing properties of conformal vector fields on almost Kenmotsu manifolds.
method Analyzing conformal vector fields as Reeb vector fields and pointwise collinear, proving manifold properties and existence of warped products.
result Conformal vector fields on almost Kenmotsu manifolds lead to specific manifold structures and properties.
The paper characterizes gradient solitons in specific manifold types.
problem Characterizing gradient solitons in almost Kenmotsu manifolds.
method Analyzing -quasi Einstein solitons within two classes of almost Kenmotsu manifolds.
result Characterized gradient -quasi Einstein solitons in specific manifold types.
The paper studies Cotton solitons on specific geometric manifolds.
problem Analyzing Cotton solitons in almost Kenmotsu 3--manifolds.
method Examined potential vector fields and their relationship with the Reeb vector field.
result Steady Cotton solitons on non-Kenmotsu manifolds are locally isometric to .
As a generalization of slant submanifolds and semi-slant submanifolds, we introduce the notions of pointwise slant submanifolds and pointwise semi-slant sunmanifolds of an almost contact metric manifold. We obtain a characterization at each notion, investigate the topological properties of pointwise slant submanifolds,…
The study classifies h-almost Ricci-Yamabe solitons in various paracontact manifolds.
problem Classifying h-almost Ricci-Yamabe solitons in paracontact geometry.
method Characterization and classification of para-Kenmotsu, para-Sasakian, and para-cosymplectic manifolds.
result Characterizations and classifications of various paracontact manifolds.
The paper classifies 3D paracontact and almost paracosymplectic spaces.
problem Classifying 3D paracontact and almost paracosymplectic spaces.
method Detailed structure analysis and local classification for all possible values of κ.
result Local classification of paracontact metric and almost paracosymplectic (κ,μ)-spaces for every possible value of κ.
Study on solitons in Kenmotsu statistical manifolds and submanifolds.
problem Investigating solitons in Kenmotsu statistical manifolds and their submanifolds.
method Examined statistical solitons and Yamabe solitons, studied curvature properties, and analyzed submanifolds with concircular and concurrent vector fields.
result Discussed the behavior of almost quasi-Yamabe solitons on submanifolds of Kenmotsu statistical manifolds.
A structure on an almost contact metric manifold is defined as a generalization of well-known cases: Sasakian, quasi-Sasakian, Kenmotsu and cosymplectic. Then we consider a semi-invariant -submanifold of a manifold endowed with such a structure and two topics are studied: the integrability of distributions de…
The paper defines and explores Ricci ρ-solitons on specific 3D manifolds.
problem Exploring Ricci ρ-solitons on 3D almost Kenmotsu Einstein manifolds.
method Defined Ricci ρ-solitons and showed conditions for 3D almost Kenmotsu Einstein manifolds.
result If a 3D almost Kenmotsu Einstein manifold is a ρ-soliton, it is a Kenmotsu manifold with constant sectional curvature -1 and is expanding.
The vector space of the tensors of type (0,3) having the same symmetries as the covariant derivative of the fundamental form of an almost contact metric manifold is considered. A scheme of decomposition of into orthogonal components which are invariant under the action of is giv…
Study non-symmetric non-metric connections on Kenmotsu manifolds.
problem Properties of Kenmotsu manifolds with non-symmetric non-metric connections.
method Investigate curvature properties and irregularity of Kenmotsu manifolds.
result Kenmotsu manifolds with non-symmetric non-metric connections are irregular.
Study on Kenmotsu pseudo-metric manifolds with curvature conditions and Ricci solitons.
problem Properties and curvature conditions of Kenmotsu pseudo-metric manifolds.
method Systematic study and proof of necessary conditions and structure theorems.
result Conditions for constant -sectional curvature and structure theorems for conformally flat manifolds.
Study properties of Kenmotsu manifolds with conformal η-Einstein soliton metrics.
problem Properties of Kenmotsu manifolds with specific soliton metrics.
method Investigated properties and constructed a 3D example.
result Properties and construction of 3D Kenmotsu manifold with conformal η-Einstein soliton.
Study -Ricci solitons on Kenmotsu manifolds with generalized symmetric metric connection.
problem Exploring -Ricci solitons on Kenmotsu manifolds with a specific type of metric connection.
method Examined Ricci and -Ricci solitons on Kenmotsu manifolds with generalized symmetric metric connection of type under various conditions.
result Constructed an example of a Kenmotsu manifold with generalized symmetric metric connection of type admitting -Ricci solitons.
Study properties of Kenmotsu manifolds with a specific connection.
problem Properties of Kenmotsu manifolds with a semi-symmetric non-metric connection.
method Analysis of generalized recurrent, Ricci-recurrent, weakly symmetric, and weakly Ricci-symmetric properties.
result New findings on properties of Kenmotsu manifolds under semi-symmetric non-metric connection.
The paper explores Yamabe solitons on specific types of 3D manifolds.
problem Investigating Yamabe solitons on three-dimensional normal almost paracontact metric manifolds.
method Analyzing para-Sasakian, paracosymplectic, and para-Kenmotsu manifolds to prove properties of Yamabe solitons.
result Characterization and properties of Yamabe solitons on specific types of 3D manifolds.
The paper reclassifies almost paracontact metric manifolds into 12 classes.
problem Classifying almost paracontact metric manifolds into distinct classes.
method Decomposing one class into two, determining various manifold types, and defining structures on Lie groups.
result 3-dimensional manifolds belong to four basic classes.
Study --Ricci solitons on weak Kenmotsu -manifolds.
problem Characterize --Ricci solitons on weak Kenmotsu -manifolds.
method Adapted -Ricci tensor to weak metric -manifolds, studied the interaction with weak -Kenmotsu structure.
result Obtained new characteristics of -Einstein metrics.
We investigate 3-dimensional almost Kenmotsu manifolds satisfying special types of nullity conditions depending on two smooth functions . When either and or , such conditions coincide with the -nullity condition which we show to be equivalent to the -Einstein one. As an application of this …
Study on pseudo parallel contact CR-submanifolds in Kenmotsu manifolds.
problem Characterizing pseudo parallel contact CR-submanifolds in Kenmotsu manifolds.
method Analysis of pseudo parallel contact CR-submanifolds with respect to both Levi-Civita and semisymmetric metric connections in Kenmotsu manifolds.
result Equivalent conditions for pseudo parallel contact CR-submanifolds in Kenmotsu manifolds.
The paper studies curvature tensors and hypersurfaces in Kenmotsu type manifolds.
problem Characterizing curvature tensors and hypersurfaces in Kenmotsu type manifolds.
method Analyzing the generalized curvature tensor, introducing new curvature tensors, and establishing conditions for hypersurfaces.
result The class of Kenmotsu type is η-Einstein manifold when the generalized curvature tensor is flat, and vice versa under suitable conditions.
Study of -Ricci solitons and -Einstein metrics on weak -Kenmotsu -manifolds.
problem Exploring new -structures and their properties in geometric settings.
method Analysis of weak -Kenmotsu -manifolds and their properties under -Ricci soliton structures.
result Weak -Kenmotsu -manifolds with and -Ricci soliton structures are -Einstein manifolds of constant scalar curvature.
The paper characterizes Kenmotsu manifolds with conformal η-Ricci solitons.
problem Characterizing Kenmotsu manifolds with conformal η-Ricci solitons.
method Investigating the nature of conformal η-Ricci solitons within the framework of Kenmotsu manifolds.
result An η-Einstein Kenmotsu manifold admitting conformal η-Ricci soliton is an Einstein one.
Existence, Stability, and Geometric Implications of --Schouten Solitons on Kenmotsu Manifoldsmath.DG
Study on Schouten solitons on Kenmotsu manifolds, focusing on torse-forming vector fields.
problem Characterizing --Schouten solitons on Kenmotsu manifolds.
method Investigation of --Schouten solitons on Kenmotsu manifolds with torse-forming potential vector fields.
result Characterization of the soliton and derivation of scalar curvature for Kenmotsu manifolds.
New generalized symmetric connections defined for Kenmotsu manifolds.
problem Characterizing new connections in Kenmotsu manifolds.
method Defined and analyzed new generalized symmetric connections on Kenmotsu manifolds.
result Provided results involving curvature tensors for Kenmotsu manifolds.
New class of metric f-manifolds introduced.
problem No specific problem stated; focuses on introducing new class.
method Definition and properties of new class of metric f-manifolds.
result Properties and examples of new class of metric f-manifolds.
This paper is a complete study of almost α-paracosmplectic manifolds. We characterize almost α-paracosmplectic manifolds which have para Kaehler leaves. Main curvature identities which are fulfilled by any almost α-paracosmplectic manifold are found. We also proved that ξ is a harmonic vector field if and only if it is…