Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Yamabe constant evolution and monotonicity along the conformal Ricci flow
View through CrossRef
<abstract><p>We investigate the Yamabe constant's behaviour in a conformal Ricci flow. For conformal Ricci flow metric $ g(t) $, $ t \in [0, T) $, the time evolution formula for the Yamabe constant $ Y(g(t)) $ is derived. It is demonstrated that if the beginning metric $ g(0) = g_0 $ is Yamabe metric, then the Yamabe constant is monotonically growing along the conformal Ricci flow under some simple assumptions unless $ g_0 $ is Einstein. As a result, this study adds to the body of knowledge about the Yamabe problem.</p></abstract>
American Institute of Mathematical Sciences (AIMS)
Title: Yamabe constant evolution and monotonicity along the conformal Ricci flow
Description:
<abstract><p>We investigate the Yamabe constant's behaviour in a conformal Ricci flow.
For conformal Ricci flow metric $ g(t) $, $ t \in [0, T) $, the time evolution formula for the Yamabe constant $ Y(g(t)) $ is derived.
It is demonstrated that if the beginning metric $ g(0) = g_0 $ is Yamabe metric, then the Yamabe constant is monotonically growing along the conformal Ricci flow under some simple assumptions unless $ g_0 $ is Einstein.
As a result, this study adds to the body of knowledge about the Yamabe problem.
</p></abstract>.
Related Results
Geometry of almost conformal Ricci solitons on weakly Ricci symmetric spacetime
Geometry of almost conformal Ricci solitons on weakly Ricci symmetric spacetime
The aim of this paper is to study geometrical aspects of the almost conformal Ricci solitons on weakly Ricci symmetric perfect fluid spacetime obeying Einstein field equations. Amo...
Compact almost Co-Kähler manifolds and Ricci-Yamabe solitons
Compact almost Co-Kähler manifolds and Ricci-Yamabe solitons
In this article we establish that if the metric g of a compact almost Co-K?hler manifold M2n+1
is a Ricci-Yamabe soliton whose potential vector field is point-wise collinear with t...
Evaluating Manifest Monotonicity Using Bayes Factors
Evaluating Manifest Monotonicity Using Bayes Factors
The assumption of latent monotonicity in item response theory models for dichotomous data cannot be evaluated directly, but observable consequences such as manifest monotonicity fa...
Chern-Yamabe problem and Chern-Yamabe soliton
Chern-Yamabe problem and Chern-Yamabe soliton
Let [Formula: see text] be a compact complex manifold of complex dimension [Formula: see text] endowed with a Hermitian metric [Formula: see text]. The Chern-Yamabe problem is to f...
η-Ricci-Yamabe solitons in the framework of LP-Kenmotsu manifolds
η-Ricci-Yamabe solitons in the framework of LP-Kenmotsu manifolds
This paper examines the geometric characteristics of ?-Ricci-Yamabe solitons within the frame-work of LP-Kenmotsu manifolds. A key focus is on determining conditions under which th...
Some characterizations for compact hyperbolic Ricci solitons admitting 2-conformal vector fields
Some characterizations for compact hyperbolic Ricci solitons admitting 2-conformal vector fields
In this paper, we find a set of structural equations for hyperbolic Ricci solitons admitting 2-conformal vector fields, which extends similar results for Ricci solitons. As a resul...
Conformal Super-Biderivations on Lie Conformal Superalgebras
Conformal Super-Biderivations on Lie Conformal Superalgebras
In this paper, the conformal super-biderivations of two classes of Lie conformal superalgebras are studied. By proving some general results on conformal super-biderivations, we det...
Chirurgie et second invariant de Yamabe
Chirurgie et second invariant de Yamabe
Le but dans cette thèse est d'expliciter les liens entre les propriétés analytiques, géométriques et topologiques des variétés compactes de dimension n supérieure ou égale à 3 et l...