The paper classifies a specific type of contact metric manifolds.
problem Classifying -contact metric manifolds.
method Using Ricci-generalized pseudosymmetric properties defined by Deszcz.
result Classification of -contact metric manifolds.
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30 results for “Ricci-generalized pseudosymmetric”
On the existence of various generalizations of semisymmetric and pseudosymmetric type manifoldsmath.DG
The paper investigates various generalizations of semisymmetric and pseudosymmetric manifolds.
problem Exploring different curvature tensor generalizations of semisymmetric and pseudosymmetric manifolds.
method Systematic review and examination of geometric structures with physical examples.
result Proper existence of various geometric structures, including Ricci pseudosymmetric manifolds.
The curvature properties of Robinson-Trautman metric have been investigated. It is shown that Robinson-Trautman metric admits several kinds of pseudosymmetric type structures such as Weyl pseudosymmetric, Ricci pseudosymmetric, pseudosymmetric Weyl conformal curvature tensor etc. Also it is shown that the difference $R…
The object of the present paper is to study the characterization of warped product manifolds satisfying some pseudosymmetric type conditions, especially, due to projective curvature tensor. For this purpose we consider a warped product manifold satisfying the pseudosymmetric type condition $R\cdot R = L_1 Q(g,R) + L_2 …
The paper examines curvature properties of charged Nariai spacetimes.
problem Investigating geometric structures of charged Nariai spacetimes.
method Analyzing curvature properties and geometric structures of charged Nariai spacetimes.
result Charged Nariai spacetimes are locally symmetric, 2-quasi-Einstein, and Ein(2)-space.
The main objective of the present paper is to investigate the curvature properties of generalized pp-wave metric. It is shown that generalized pp-wave spacetime is Ricci generalized pseudosymmetric, 2-quasi-Einstein and generalized quasi-Einstein in the sense of Chaki. As a special case it is shown that pp-wave spaceti…
The paper examines Ricci solitons on specific types of -manifolds.
problem Investigating Ricci solitons on -manifolds.
method Analyzing various types of Ricci pseudosymmetric -manifolds.
result Conditions for Ricci solitons on specific -manifolds.
The paper finds conditions for pseudosymmetric spacetimes to be perfect fluids.
problem Characterizing pseudosymmetric spacetimes as perfect fluids.
method Analyzes generalized Robertson-Walker spacetimes, conformally flat spacetimes, and dust fluids.
result Conditions for pseudosymmetric spacetimes to be perfect fluids are established.
Definition of -pseudosymmetric semi-Riemannian manifold is given. -pseudosy mmetric -semi-Riemannian manifolds are classified. Some results for -pseudosymmetric -semi-Riemannian manifolds are obtained. $({\cal T}_{a},{\cal T}_{b…
On pseudosymmetric manifoldsmath.DG
In the literature, there are two different notions of pseudosymmetric manifolds, one by Chaki [7] and other by Deszcz [16], and there are many papers related to these notions. The object of the present paper is to deduce necessary and sufficient conditions for a Chaki pseudosymmetric [7] (resp. pseudo Ricci symmetric […
Geometric structures of Morris-Thorne wormhole metric with the semi-symmetric non-metric connectionsmath.DG
The paper studies geometric structures of wormholes using a new connection.
problem Exploring new geometric properties of wormholes.
method Extended Levi-Civita connection to semi-symmetric non-metric connections.
result Morris-Thorne wormholes exhibit specific geometric properties.
The aim of this paper is to present the first examples of compact, simply connected holomorphically pseudosymmetric Kahler manifolds.
The aim of this paper is to present examples of Kahler holomorphically pseudosymmetric metrics on the projective space CP^n.
The paper examines curvature properties of a specific magnetic spacetime metric.
problem Investigating the geometric properties of Melvin magnetic spacetime metric.
method Analyzing a Melvin type static, cylindrically symmetric spacetime metric in Weyl form, considering curvature conditions and tensor properties.
result The Melvin magnetic metric is pseudosymmetric and satisfies the Roter type condition.
For compact Kählerian manifolds, the holomorphic pseudosymmetry reduces to the local symmetry if additionally the scalar curvature is constant and the structure function is non-negative. Similarly, the holomorphic Ricci-pseudosymmetry reduces to the Ricci-symmetry under these additional assumptions. We construct exampl…
The study characterizes symmetries in Kaehler manifolds.
problem Understanding symmetries in Kaehler manifolds.
method Analyzing specific types of Kaehler manifolds: constant holomorphic sectional curvature, semisymmetric, and holomorphically pseudosymmetric.
result Characterization results and geometric interpretation of the complex Tachibana tensor.
Geodesic mappings found in a specific type of warped product manifolds.
problem Characterizing geodesic mappings in a particular class of Roter spaces.
method Identifying a specific class of Roter type warped product manifolds and proving geodesic mappings onto another Roter type warped product manifold.
result Both geodesically related manifolds are pseudosymmetric of constant type.
Investigates geometric properties of Bardeen black hole spacetime.
problem Examines curvature properties of Bardeen black hole spacetime.
method Analyzes pseudosymmetry, pseudosymmetric Weyl curvature, and recurrent structures.
result Bardeen spacetime is a manifold of pseudosymmetry Weyl curvature and satisfies special recurrent like structure.
New Special Finsler Spacesmath.DG
The pullback approach to global Finsler geometry is adopted. Some new types of special Finsler spaces are introduced and investigated, namely, Ricci, generalized Ricci, projectively recurrent and m-projectively recurrent Finsler spaces. The properties of these special Finsler spaces are studied and the relations betwee…
The projective curvature tensor is invariant under a geodesic preserving transformation on a semi-Riemannian manifold. It is well known that is not a generalized curvature tensor and hence it possesses different geometric properties than other generalized curvature tensors. The main object of the present paper …
The paper classifies certain -contact metric manifolds under specific conditions.
problem Investigating properties of -contact metric manifolds.
method Analyzing manifolds under specific curvature conditions.
result Weyl-pseudosymmetric -contact metric manifolds are either locally isometric to or -Einstein.
Study properties of hyperbolic Yamabe solitons in submanifolds.
problem Characterize and understand hyperbolic Yamabe solitons in submanifolds.
method Define hyperbolic Yamabe flow, prove properties, and classify solitons.
result Prove that hyperbolic Yamabe solitons are pseudosymmetric or metallic shaped.
The paper examines curvature properties of Vaidya metric, a generalization of Schwarzschild solution.
problem Investigating curvature properties of Vaidya metric.
method Analyzing Vaidya metric under different curvature conditions and comparing with Ludwig-Edgar pure radiation metric.
result Vaidya metric exhibits various curvature properties including pseudosymmetric type conditions and is Ricci simple.
The paper examines geometric properties of a unique spacetime model.
problem Investigating the geometric properties of a point-like global monopole spacetime.
method Analyzing the spacetime's pseudosymmetry structures, energy-momentum tensor, and curvature properties.
result The point-like global monopole spacetime exhibits various pseudosymmetry structures and properties.
The paper explores symmetries in Kähler manifolds using Ricci tensor properties.
problem Investigating symmetries in Kähler manifolds involving Ricci tensor.
method Analyzing properties of Kähler-Einstein spaces and their generalizations.
result Clarified the geometric role of holomorphic Ricci pseudosymmetry and established new criteria for Kähler manifolds to be Einstein.
The paper studies -para-Sasakian 3-manifolds with -symmetry conditions.
problem Characterizing -para-Sasakian 3-manifolds under -symmetry conditions.
method Examining various -symmetric conditions on -para-Sasakian 3-manifolds.
result Characterizations of -symmetric, -semisymmetric, -pseudosymmetric, and projectively -semisymmetric conditions.
The paper examines geometric properties of a specific black hole spacetime.
problem Curvature properties of a Hayward black hole spacetime.
method Analyzes the curvature properties of Hayward black hole spacetime using Einstein field equations.
result The Hayward black hole spacetime is an Einstein manifold and exhibits various types of pseudosymmetry.
In this paper we study the 3-dimensional -para Sasakian manifolds. We obtain an necessary and sufficient condition for an -para Sasakian 3 -manifold to be an indefinite space form. We show that a Ricci-semi-symmetric -para Sasakian 3 -manifold is an indefinite space form…
Study explores geometric properties of Vaidya-Bonner-de Sitter spacetime.
problem Exploring geometric properties of Vaidya-Bonner-de Sitter spacetime.
method Analyzing conformal curvature, conharmonic curvature, and other curvatures.
result VBdS spacetime exhibits various pseudosymmetric structures and geometric features.
A Study On Some Geometric Properties and Physical Applications of A Mixed Quasi-Einstein Spacetimemath.DG
Study geometric properties and physical applications of mixed quasi-Einstein spacetime.
problem Characterize geometric and physical properties of mixed quasi-Einstein spacetime.
method Analyze geometric conditions and curvature tensors on mixed quasi-Einstein and nearly quasi-Einstein manifolds.
result Establish conditions for specific curvature tensors and spacetime structures.