In this paper, we consider -Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if the metric of a Kenmotsu manifold is a -Ricci soliton, then soliton constant is zero. For 3-dimensional case, if admits a -Ricci soliton, then we show that is of constant sectional curvatu…
On-device research index
arXiv research
A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
168,742 papers · 148 categories
Trend · papers per month
48 results for “soliton characteristics”
Study on para-Sasakian metrics and their solitons.
problem Characterizing para-Sasakian metrics with conformal η-Ricci solitons.
method Analyzing the properties of para-Sasakian metrics under conformal η-Ricci solitons.
result Para-Sasakian metrics admitting conformal η-Ricci solitons are η-Einstein.
--Ricci-Yamabe solitons on -Cosymplectic manifolds with a quarter-symmetric metric connectionmath.DG
The paper studies --Ricci-Yamabe solitons on -Cosymplectic manifolds.
problem Exploring --Ricci-Yamabe solitons on -Cosymplectic manifolds.
method Analyzing curvature properties and developing soliton characteristics with respect to quarter-symmetric metric connection.
result Characteristics and nature of --Ricci-Yamabe solitons on -Cosymplectic manifolds.
On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitonsmath.DG
Study on 4D compact Ricci solitons and their geometric properties.
problem Investigating the geometry of 4D compact gradient Ricci solitons.
method Proving the Hitchin-Thorpe inequality under specific conditions.
result 4D compact gradient Ricci solitons satisfy the Hitchin-Thorpe inequality.
Characterizes potential function of almost conformal Ricci solitons on Sasakian manifolds.
problem Characterizing potential functions of almost conformal Ricci solitons on Sasakian manifolds.
method Characterization through the potential function and non-dynamical scalar field .
result Established a sufficient condition for an almost conformal Ricci soliton to be an almost conformal gradient Ricci soliton.
This review explores Ricci soliton inequalities in Riemannian geometry.
problem Understanding geometric and analytic characteristics of Riemannian manifolds.
method Comprehensive study of Ricci soliton inequalities, summarizing historical evolution and current developments.
result Complex interactions between curvature conditions and geometric inequalities.
The object of this paper is to study -Ricci solitons on -almost paracontact metric manifolds. We investigate -Ricci solitons in the case when its potential vector field is exactly the characteristic vector field of the -almost paracontact metric manifold and when the potential ve…
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.
Study curvature properties of connections with skew-symmetric torsion.
problem Investigate curvature identities and solitons on manifolds.
method Analyzes curvature identities and properties of connections with skew-symmetric torsion.
result Characterizes conditions for curvature to be symmetric and Ricci flat.
The paper studies conformal Ricci solitons in warped product spaces.
problem Characterizing conformal Ricci solitons in warped product manifolds.
method Analyzes properties of conformal Ricci solitons in warped product spaces, proving conditions for solitons and characterizing them in terms of vector fields.
result A warped product manifold admitting a conformal Ricci soliton with a concurrent potential vector field is Ricci flat.
We construct many self-similar and translating solitons for Lagrangian mean curvature flow, including self-expanders and translating solitons with arbitrarily small oscillation on the Lagrangian angle. Our translating solitons play the same role as cigar solitons in Ricci flow, and are important in studying the regular…
The study explores δ-almost gradient Yamabe solitons on pseudo-Riemannian manifolds.
problem Characterizing δ-almost gradient Yamabe solitons on pseudo-Riemannian manifolds.
method Analyzing δ-almost Yamabe solitons within the framework of para-contact metric manifolds, proving properties and conditions for solitons.
result Characterization of δ-almost gradient Yamabe solitons on K-paracontact metric manifolds.
The paper introduces and characterizes almost ω-Bach solitons on various product manifolds.
problem Characterizing almost ω-Bach solitons on different manifolds.
method Introducing -Bach tensor and defining almost ω-Bach solitons; characterizing them under specific conditions.
result Explicitly found gradient almost ω-Bach solitons on specific product manifolds.
The paper studies Sasaki-Ricci solitons on Sasakian manifolds up to seven dimensions.
problem Characterizing Sasaki-Ricci solitons on Sasakian manifolds of up to seven dimensions.
method Analysis of the Sasaki-Ricci flow and convergence to solitons.
result Existence and classification of Sasaki-Ricci solitons on Sasakian manifolds up to seven dimensions.
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.
Study weak -K-contact manifolds, finding Einstein-type metrics and solitons.
problem Characterize and study geometric properties of weak -K-contact manifolds.
method Analyzing weak metric -structures, using Killing vector fields, and Jacobi operators.
result Einstein weak -K-contact manifolds are Ricci flat.
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.
On the existence of conic Sasaki-Einstein metrics on log Fano Sasakian manifolds of dimension fivemath.DG
The paper proves the existence of Sasaki-Einstein metrics on specific Sasakian manifolds.
problem Proving the existence of conic Sasaki-Einstein metrics on log Fano Sasakian manifolds of dimension five.
method Deriving uniform L^{4}-bounds and analyzing the conic Sasaki-Ricci flow.
result Existence of conic Sasaki-Einstein metrics on log Fano Sasakian manifolds of dimension five.
We review our recent work on solitons in the Higgs phase. We use U(N_C) gauge theory with N_F Higgs scalar fields in the fundamental representation, which can be extended to possess eight supercharges. We propose the moduli matrix as a fundamental tool to exhaust all BPS solutions, and to characterize all possible modu…
In 1967, Japanese physicist Morikazu Toda published the seminal papers exhibiting soliton solutions to a chain of particles with nonlinear interactions between nearest neighbors. In the decades that followed, Toda's system of particles has been generalized in different directions, each with its own analytic, geometric,…
The paper classifies a type of solitons in Euclidean spaces.
problem Classifying generalized Yamabe solitons on hypersurfaces.
method Completely classified solitons arising from the position vector field.
result Classification of generalized Yamabe solitons on hypersurfaces in Euclidean spaces.
Study on shrinking solitons of generalized Ricci flow.
problem Characterizing shrinking solitons in generalized Ricci flow.
method Analyzing gradient shrinking solitons and pluriclosed solitons on compact manifolds.
result First non-trivial shrinking generalized soliton constructed.
New examples of solitons found as warped products.
problem Constructing new soliton examples.
method Warped products and explicit descriptions using elementary functions.
result Complete examples of Ricci almost solitons and Ricci-Bourguignon solitons.
Study on Yamabe solitons with applications and structure elucidation.
problem Understanding the structure of Yamabe solitons and their applications.
method Investigation of complete gradient conformal solitons under specific conditions.
result Affirmative partial answer to Yamabe soliton conjecture.
We classify Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups. All algebraic Ricci solitons that we obtain are sol-solitons. In particular, we prove that, contrary to the Riemannian case, Lorentzian Ricci solitons need not to be algebraic Ricci solitons. We classify Algebraic Ricci Solitons of three-d…
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.
Study on -Ricci-Yamabe solitons on Riemannian submersions.
problem Characterizing -Ricci-Yamabe solitons on Riemannian submersions.
method Analyzing conditions for -Ricci-Yamabe solitons on submersions and deriving Laplacian equations.
result Classification of fiber and target manifolds as -Ricci-Yamabe solitons under various conditions.
Study on geometric properties of second Ricci solitons.
problem Understanding the geometry of second Ricci solitons.
method Investigation of closed and compact second Ricci soliton manifolds, and immersed submanifolds as well as warped product manifolds.
result Investigation of geometric properties of second Ricci solitons.
Study on Ricci-like solitons and gradient solitons on specific manifolds.
problem Characterizing solitons on Sasaki-like almost contact B-metric manifolds.
method Introduced and studied Ricci-like solitons with arbitrary potential and gradient solitons. Proved properties of the Ricci tensor and soliton coefficients.
result Gradient almost Ricci-like solitons have constant soliton coefficients.
The study classifies steady Ricci solitons based on geometric conditions.
problem Characterizing steady Ricci solitons under specific geometric constraints.
method Analyzing geometric conditions and applying them to classify solitons.
result Steady Ricci solitons are classified into specific types based on given conditions.
Study on p-biharmonic maps from gradient Ricci solitons, focusing on 2D cigar soliton.
problem Understanding p-biharmonic maps on gradient Ricci solitons.
method Analyzing p-biharmonic maps from gradient Ricci solitons, specifically 2D cigar soliton.
result Obtained results on p-biharmonic maps from gradient Ricci solitons, particularly on 2D cigar soliton.
The study characterizes spacetimes with specific solitons in -gravity.
problem Characterizing spacetimes with specific solitons in -gravity.
method Analyzing -Ricci solitons, gradient -Ricci solitons, gradient Einstein Solitons, and gradient -quasi Einstein solitons in perfect fluid spacetimes obeying -gravity.
result Established conditions for the behavior of -Ricci solitons and derived significant theorems about dark matter.
We prove some results for the solitons of the Ricci-Bourguignon flow, generalizing corresponding results for Ricci solitons. Taking motivation from Ricci almost solitons, we then introduce the notion of Ricci-Bourguignon solitons and prove some results about them which generalize previous results for Ricci alm…
Extends soliton theory to non-compact cases.
problem Generalized solitons in non-compact settings.
method Place conditions on vector field and curvature, use tensor properties.
result Non-compact -solitons are stationary and -flat.
Paper shows constant σk-curvature for quasi k-Yamabe solitons.
problem Understanding constant curvature in quasi k-Yamabe solitons.
method Analyzes conditions for solitons to be gradient and constant curvature.
result Compact quasi k-Yamabe solitons have constant σk-curvature.
Researchers study solitons on homogeneous manifolds, proving properties of specific types of solitons.
problem Examining solitons on homogeneous manifolds to understand their properties and constraints.
method Analyzing ambient obstruction flow and specific solitons in homogeneous spaces, proving properties and constructing examples.
result Proved that any compact ambient obstruction soliton with constant scalar curvature is trivial, and characterized specific types of solitons in 4-dimensional homogeneous spaces.
The paper characterizes Ricci solitons on the Poincaré upper half plane.
problem Characterizing Ricci solitons on the Poincaré upper half plane.
method Classifying and generalizing Ricci solitons and soliton equations in the half plane of Poincaré.
result Obtained some properties of solitons about their geodesic flows.
Characterizes --Ricci-Yamabe solitons on Kenmotsu manifolds.
problem Understanding --Ricci-Yamabe solitons on Kenmotsu manifolds.
method Analyzes the geometry of --Ricci-Yamabe solitons and gradient solitons on Kenmotsu manifolds.
result Characterizes the nature of --Ricci-Yamabe solitons and gradient solitons.
The paper explores almost Ricci solitons on Finsler spaces, proving conditions for their existence.
problem Characterizing almost Ricci solitons on Finsler measure spaces.
method Introducing and investigating gradient almost Ricci solitons, proving conditions for existence.
result Conditions for the existence of gradient almost Ricci solitons on Finsler measure spaces.
New families of Ricci solitons found with collapsing volume.
problem Finding new Ricci solitons with specific volume behavior.
method Reduced soliton equation to Monge-Ampère equation coupled with ODEs.
result Explicit complete expanding solitons and existence results for other types.
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.
Study on warped product Yamabe solitons with constant fiber curvature.
problem Characterizing nontrivial warped product Yamabe gradient solitons.
method Investigation of warped product manifolds, derivation of scalar curvature estimates.
result Nontrivial warped product Yamabe gradient solitons have constant scalar curvature in the fiber.
Study on steady solitons' curvature behavior near infinity.
problem Curvature estimate of steady solitons near infinity.
method Investigation of asymptotic curvature properties.
result Asymptotic curvature estimate for steady solitons.
The study classifies specific types of solitons with bounded scalar curvature.
problem Classifying quasi-Yamabe gradient solitons with bounded scalar curvature.
method Analyzing complete, nontrivial solitons with scalar curvature bounded above or below.
result Classification of specific types of solitons with bounded scalar curvature.
Unique steady and expanding solitons with spherical links identified.
problem Characterizing steady and expanding Ricci solitons with specific asymptotic symmetries.
method Symmetry principle applied to asymptotically cylindrical and conical GRSs, proving uniqueness for Bryant solitons.
result Bryant steady and expanding solitons are the unique asymptotically cylindrical and conical GRSs with spherical links under certain conditions.
The paper examines triviality of Ricci-Bourguignon harmonic solitons.
problem Investigating triviality of Ricci-Bourguignon harmonic solitons.
method Utilizing results from V-harmonic map to study Ricci harmonic soliton properties.
result Triviality of Ricci-Bourguignon harmonic solitons examined.
We use the bracket flow/algebraic soliton approach to study the Laplacian flow of -structures and its solitons in the homogeneous case. We prove that any homogeneous Laplacian soliton is equivalent to a semi-algebraic soliton (i.e.\ a -invariant -structure on a homogeneous space that flows by pull-ba…
The paper classifies 3D complete gradient Yamabe solitons.
problem Classifying nontrivial 3D complete gradient Yamabe solitons.
method Analyzing properties of Yamabe solitons to show rotationally symmetry.
result Nontrivial non-flat 3D complete steady gradient Yamabe solitons are rotationally symmetric.