Results 111 to 120 of about 387 (181)

Miao-Tam Equation and Ricci Solitons on Three-Dimensional Trans-Sasakian Generalized Sasakian Space-Forms

open access: yesUniversal Journal of Mathematics and Applications
The aim of the present article is to characterize some properties of the Miao-Tam equation on three-dimensional generalized Sasakian space-forms with trans-Sasakian structures.
Tarak Mandal   +2 more
doaj   +1 more source

Almost Ricci-Yamabe Soliton on Contact Metric Manifolds

open access: yes, 2022
We consider almost Ricci-Yamabe soliton in the context of certain contact metric manifolds. Firstly, we prove that if the metric $g$ admits an almost $(\alpha,\beta)$-Ricci-Yamabe soliton with $\alpha\neq 0$ and potential vector field collinear with the ...
Khatri, Mohan, Singh, Jay Prakash
core   +1 more source

Gradient Ricci solitons with vanishing conditions on Weyl [PDF]

open access: yes, 2017
We classify complete gradient Ricci solitons satisfying a fourth-order vanishing condition on the Weyl tensor, improving previously known results. More precisely, we show that any n-dimensional (n≥4) gradient shrinking Ricci soliton with fourth order ...
CATINO, GIOVANNI   +7 more
core   +1 more source

On the Potential Function of Gradient Steady Ricci Solitons [PDF]

open access: yesJournal of Geometric Analysis, 2011
A steady gradient Ricci soliton is a Riemannian manifold \((M,g)\) together with a real potential function \(f\) satisfying \(\text{Ric}+ \text{Hess\,}f= 0\). For a complete and noncompact \(M\), it is shown that the infimum of the potential function decays linearly. In particular it cannot be bounded unless it is constant.
openaire   +1 more source

Gradient Expanding Ricci Solitons Type Inequalities on Submanifolds in Quaternion Kaehler Manifolds with Bi-Slant Factor

open access: yesMathematics
In this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
doaj   +1 more source

Ricci solitons gradient and Einstein manifolds with warped product métric

open access: yes, 2016
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESThis work is based on the articles [26] and [27], where we studied Einstein manifolds and gradient Ricci soliton with twisted product structure.
Batista, Elismar Dias
core  

Classification results for expanding and shrinking gradient K\"ahler-Ricci solitons

open access: yes, 2019
We first show that a K\"ahler cone appears as the tangent cone of a complete expanding gradient K\"ahler-Ricci soliton with quadratic curvature decay with derivatives if and only if it has a smooth canonical model (on which the soliton lives).
Deruelle, Alix   +2 more
core   +2 more sources

Spherical Gradient Ricci Solitons

open access: yes, 2009
In this paper, we obtain a condition under which a compact gradient Ricci soliton of positive Ricci curvature admits a metric that makes it isometric to a sphere.partially supported by research center at King Saud ...
Al-Sodais, Hana., Alodan, Haila.
core  

Rigidity of Gradient Ricci Solitons

open access: yes, 2007
We define a gradient Ricci soliton to be rigid if it is a flat bundle N*GammaRk where N is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons.
Wylie, William, Petersen, Peter
core   +1 more source

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