Results 41 to 50 of about 826 (116)
, 2013 Left-invariant Cotton solitons on homogeneous manifolds are determined. Moreover, algebraic Cotton solitons are studied providing examples of non-invariant Cotton solitons, both in the Riemannian and Lorentzian homogeneous ...
Calviño-Louzao, E. +3 more
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Impact of Ambient Conformal Vector Fields on Yamabe Solitons on Riemannian Hypersurfaces
MathematicsWe investigate Yamabe solitons on Riemannian hypersurfaces induced by conformal vector fields in Riemannian and Lorentzian manifolds, with an emphasis on the tangential component.
Norah Alshehri
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CuboIn this research article, we study \(\ast\)-\(\eta\)-Ricci-Yamabe solitons on an \(\alpha\)-cosymplectic manifold by giving an example in the support and also prove that it is an \(\eta\)-Einstein manifold.
Vandana +2 more
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Riemann Solitons on Homogeneous Siklos Spacetimes
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate the properties of Riemann solitons on homogeneous Siklos spacetimes. Siklos spacetimes, which are special solutions to Einstein’s equations with a wave‐like potential, provide a suitable setting for studying the geometric properties of Riemann solitons.
Mehdi Jafari +3 more
wiley +1 more source
Ricci‐Bourguignon Solitons With Certain Applications to Relativity
Journal of Mathematics, Volume 2025, Issue 1, 2025.This article concerns with the investigation of Ricci‐Bourguignon solitons and gradient Ricci‐Bourguignon solitons in perfect fluid space‐times and generalised Robertson–Walker space‐times. First, we deduce the criterion for which the Ricci‐Bourguignon soliton in a perfect fluid space‐time is steady, expanding or shrinking. Then, we establish that if a
Krishnendu De +4 more
wiley +1 more source
Gap Theorems for Locally Conformally Flat Manifolds [PDF]
, 2015 In this paper, we prove a gap result for a locally conformally flat complete non-compact Riemannian manifold with bounded non-negative Ricci curvature and a scalar curvature average condition.
Ma, Li
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The rigid Horowitz-Myers conjecture
, 2017 The "new positive energy conjecture" Horowitz and Myers (1999) probes a possible nonsupersymmetric AdS/CFT correspondence. We consider a version formulated for complete, asymptotically Poincar\'e-Einstein Riemannian metrics $(M,g)$ with bounded scalar ...
Woolgar, Eric
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Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi‐Type
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper is devoted to Ricci solitons admitting a Jacobi‐type vector field. First, we present some rigidity results for Ricci solitons (Mn, g, V, λ) admitting a Jacobi‐type vector field ξ and provide conditions under which ξ is Killing. We also present conditions under which the Ricci soliton (Mn, g, ξ, λ) is isometric to Rn.
Vahid Pirhadi +3 more
wiley +1 more source
Rigidity Characterizations of Conformal Solitons
MathematicsWe study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
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Certain results for η-Ricci Solitons and Yamabe Solitons on quasi-Sasakian 3-Manifolds
Cubo, 2019 We classify quasi-Sasakian 3-manifold with proper η-Ricci soliton and investigate its geometrical properties. Certain results of Yamabe soliton on such manifold are also presented.
Sunil Kumar Yadav +2 more
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