Results 51 to 60 of about 550 (112)
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
2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly +3 more
wiley +1 more source
Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
wiley +1 more source
MathematicsIn this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection ∇˜.
Yanlin Li, Aydin Gezer, Erkan Karakas
doaj +1 more source
Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
wiley +1 more source
On noncompact quasi Yamabe gradient solitons
Differential Geometry and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Kenmotsu 3-manifold admitting gradient Ricci-Yamabe solitons and *-η-Ricci-Yamabe solitons
FilomatIn this paper, we classify Kenmotsu manifolds admitting gradient Ricci-Yamabe solitons and *-?-Ricci-Yamabe solitons. We find conditions of Kenmotsu manifold about when it shrink, expand and steady. It is shown that Kenmotsu 3-manifold endowed with gradient Ricci-Yamabe soliton and with constant scalar curvature becomes an Einstein manifold.
Rajendra Prasad, Vinay Kumar
openalex +3 more sources
Classification of three dimensional complete gradient Yamabe solitons [PDF]
, 2021 Shun Maeta
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Classification of Complete Expanding Gradient Weighted Yamabe Solitons [PDF]
Rong Mi
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