Results 51 to 60 of about 826 (116)
Perfect fluid spacetimes and $k$-almost Yamabe solitons
Turkish Journal of Mathematics, 2023 In this article, we presumed that a perfect fluid is the source of the gravitational field while analyzing the solutions to the Einstein field equations. With this new and creative approach, here we study $k$-almost yamabe solitons and gradient $k$-almost yamabe solitons.
De, Krishnendu +2 more
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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
Statistical Solitonic Impact on Submanifolds of Kenmotsu Statistical Manifolds
MathematicsIn this article, we delve into the study of statistical solitons on submanifolds of Kenmotsu statistical manifolds, introducing the presence of concircular vector fields. This investigation is further extended to study the behavior of almost quasi-Yamabe
Abdullah Ali H. Ahmadini +2 more
doaj +1 more source
Classification of generalized Yamabe solitons
, 2021 In this paper, we consider generalized Yamabe soliton version of the Perelman's conjecture. We consider complete gradient conformal solitons and classify them. As a corollary, we recover the classification of three-dimensional complete gradient Yamabe solitons.
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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
Rigidity and Triviality of Gradient r-Almost Newton-Ricci-Yamabe Solitons
MathematicsIn this paper, we develop the concept of gradient r-Almost Newton-Ricci-Yamabe solitons (in brief, gradient r-ANRY solitons) immersed in a Riemannian manifold.
Mohd Danish Siddiqi, Fatemah Mofarreh
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Extremal K\"ahler metrics [PDF]
, 2014 This paper is a survey of some recent progress on the study of Calabi's extremal K\"ahler metrics. We first discuss the Yau-Tian-Donaldson conjecture relating the existence of extremal metrics to an algebro-geometric stability notion and we give some ...
Székelyhidi, Gábor
core
On complete Finslerian Yamabe solitons
Differential Geometry and its Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. Bidabad, M. Yar Ahmadi
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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