Results 31 to 40 of about 4,696,479 (281)

Remarks on Kähler Ricci Flow [PDF]

open access: yesJournal of Geometric Analysis, 2009
We note an overlap with the paper of Rubinstein [Ru1].
Chen, Xiuxiong, Wang, Bing
openaire   +2 more sources

Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions [PDF]

open access: yesGeometry & Topology, 2020
We extend the second part of \cite{Bre18} on the uniqueness of ancient $\kappa$-solutions to higher dimensions. We show that for dimensions $n \geq 4$ every noncompact, nonflat, complete, ancient solution of the Ricci flow that is uniformly PIC and ...
S. Brendle, Keaton Naff
semanticscholar   +1 more source

Gradient Estimates for a Weighted Γ-nonlinear Parabolic Equation Coupled with a Super Perelman-Ricci Flow and Implications

open access: yesPotential Analysis, 2021
This article studies a nonlinear parabolic equation on a complete weighted manifold where the metric and potential evolve under a super Perelman-Ricci flow.
A. Taheri
semanticscholar   +1 more source

Evolution for First Eigenvalue of LT,f on an Evolving Riemannian Manifold

open access: yesMathematics, 2022
In this paper, evolution formulas for the first non-zero eigenvalue of the operator LT,f on a weighted closed Riemannian manifold along the Ricci flow as well as along the Yamabe flow are formulated.
Apurba Saha   +4 more
doaj   +1 more source

The Chern-Ricci flow on complex surfaces [PDF]

open access: yes, 2012
The Chern-Ricci flow is an evolution equation of Hermitian metrics by their Chern-Ricci form, first introduced by Gill. Building on our previous work, we investigate this flow on complex surfaces. We establish new estimates in the case of finite time non-
Ben Weinkove   +15 more
core   +1 more source

Ricci Flow and Ricci Limit Spaces [PDF]

open access: yes, 2020
I survey some of the developments in the theory of Ricci flow and its applications from the past decade. I focus mainly on the understanding of Ricci flows that are permitted to have unbounded curvature in the sense that the curvature can blow up as we wander off to spatial infinity and/or as we decrease time to some singular time.
openaire   +2 more sources

On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow

open access: yesJournal of Inequalities and Applications, 2020
This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow.
Abimbola Abolarinwa   +2 more
doaj   +1 more source

Singular Ricci flows I [PDF]

open access: yesActa Mathematica, 2017
final ...
Kleiner, Bruce, Lott, John
openaire   +4 more sources

Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics [PDF]

open access: yes, 2006
In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions.
Astefanesei D.   +8 more
core   +3 more sources

A MECHANICS FOR THE RICCI FLOW

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2009
We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n-dimensional manifold without boundary. The corresponding gradient Ricci flow equation turns out to equal the time-dependent Hamilton–Jacobi equation of the mechanics so defined.
Abraham, S.   +3 more
openaire   +3 more sources

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