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Mean Curvature Flow Solitons in the Presence of Conformal Vector Fields

Journal of Geometric Analysis, 2017
In this paper we introduce and study a notion of mean curvature flow soliton in Riemannian ambient spaces general enough to encompass target spaces of constant sectional curvature, Riemannian products or, in increasing generality, warped product spaces ...
L. Alías, J. D. de Lira, M. Rigoli
semanticscholar   +1 more source

Conformal Vector Fields on Finsler Warped Product Manifolds

Acta Mathematica Sinica, English Series, 2023
The authors study Finsler manifolds which are equipped with a special form of Finsler metric known as Finsler warped product metric, and investigate conformal vector fields on such manifolds. They obtain a system of equivalent equations in Theorem 1.1 that the conformal vector fields on Finsler warped product manifolds satisfy and which completely ...
Zhang, Xiao Ling, Feng, Ya Lu
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Conformal vector fields on spacetimes

Annals of Global Analysis and Geometry, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Conformal Vector Fields and Conformal Ricci Solitons on $$\alpha $$-Kenmotsu Manifolds

Mediterranean Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria Falcitelli   +2 more
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Conformal Vector Fields and Conformal–Type Collineations in Space-Times

General Relativity and Gravitation, 2000
This article discusses the existence of homothetic and conformal vector fields in spacetimes with a Killing symmetry. The study of Weyl invariants along the integral curves of the conformal vector fields leads to restrictions for the existence of such fields. A non-existence theorem for proper conformal fields in spacetimes of certain Petrov classes is
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Conformal vector fields on Finsler manifolds

International Journal of Mathematics, 2020
In this paper, we give an equivalent characterization of conformal vector fields on a Finsler manifold [Formula: see text], whose metric [Formula: see text] is defined by a Riemannian metric [Formula: see text] and a 1-form [Formula: see text]. This characterization contains all related results in [Z. Shen and Q.
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Conformal vector fields in general relativity

Journal of Mathematical Physics, 1991
A general discussion of conformal vector fields in space-times is given. Amongst the topics considered are the maximum dimension of the conformal algebra for space-times that are not conformally flat, the nature of conformal isotropies and a new approach to the theorem of Bilyalov and Defrise-Carter concerning the reduction of the conformal algebra to ...
Hall, G. S., Steele, J. D.
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Generalized m-Quasi-Einstein manifolds admitting a closed conformal vector field

Annali di Matematica Pura ed Applicata, 2023
Rahul Poddar   +2 more
semanticscholar   +1 more source

Conformal vector fields on Kaehler manifolds

ANNALI DELL'UNIVERSITA' DI FERRARA, 2011
The author studies analytic conformal vector fields on non-compact Kähler manifolds \(M\) and looks for necessary conditions in order that such objects become Killing vector fields. The main results of the paper prove that two such additional hypothesis are: (i) \(\dim M \neq 4\) ; \(M\) has constant nowhere vanishing scalar curvature.
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