Results 21 to 30 of about 1,408 (59)

Ricci Solitons on Para-Sasakian Manifolds

, 2016
The present paper aims at studying a Ricci solitons on para-Sasakian manifolds. We give the results on Ricci solitons in para-Sasakian manifold satisfying the conditions 0 = ) , ( R X S   , 0 = ) , ( P X R   and 0 = ) , ( H X R   ,where P , H are ...
B. S. Hadimani, D. G. Prakasha
semanticscholar   +1 more source

GRADIENT ESTIMATES FOR HEAT-TYPE EQUATIONS ON MANIFOLDS EVOLVING BY THE RICCI FLOW

, 2014
In this paper, certain localized and global gradient estimates for all positive solutions to the geometric heat equation coupled to the Ricci flow either forward or backward in time are proved.
Abimbola Ayodeji Abolarinwa
semanticscholar   +1 more source

An estimate for the anisotropic maximum curvature in the planar case [PDF]

arXiv, 2020
We fix a Finsler norm $F$ and, using the anisotropic curvature flow, we prove that the anisotropic maximum curvature $k^F_{\max}$ of a smooth Jordan curve is such that $ k^F_{\max}(\gamma)\geq \sqrt{\kappa/A}$ , where $A$ is the area enclosed by $\gamma$ and $\kappa$ the area of the unitary Wulff shape associated to the anisotropy $F$.
arxiv  

Curvature conditions, Liouville-type theorems and Harnack inequalities for a nonlinear parabolic equation on smooth metric measure spaces

Advanced Nonlinear Studies
In this paper we prove gradient estimates of both elliptic and parabolic types, specifically, of Souplet-Zhang, Hamilton and Li-Yau types for positive smooth solutions to a class of nonlinear parabolic equations involving the Witten or drifting Laplacian
Taheri Ali, Vahidifar Vahideh
doaj   +1 more source

Gradient Ricci Soliton in Kenmotsu Manifold

, 2014
In this paper we have found that if a Kenmotsu manifold with a Killing vector field satisfies gradient Ricci soliton equation then the smooth function is either constant or is orthogonal to the Killing vector field.
Nirabhra Basu, A. Bhattacharyya
semanticscholar   +1 more source

A Survey of Hamilton's Program for the Ricci Flow on 3-manifolds [PDF]

arXiv, 2002
We give a brief survey of Hamilton's program for 3-manifolds as an approach toward Thurston's Geometrization Conjectre.
arxiv  

Complete Kähler manifolds with pinched bisectional curvature [PDF]

arXiv, 2006
This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.
arxiv  

Scalar Curvature Bound for Kähler-Ricci Flows over Minimal Manifolds of General Type [PDF]

arXiv, 2008
In this short note, we use classic computations for K\"ahler-Ricci flow to achieve scalar curvature bound for minimal manifold of general type.
arxiv  

A Modified Kähler-Ricci Flow [PDF]

arXiv, 2008
In this note, a modified K\"ahler-Ricci flow is introduced and studied. The main point is to show the flexibility of K\"ahler-Ricci flow and summarize some useful techniques.
arxiv  

Two-dimensional Ricci flow as a stochastic process [PDF]

arXiv, 2009
We prove that, for a two-dimensional Riemannian manifold, the Ricci flow is obtained by a Wiener process.
arxiv