Results 1 to 10 of about 1,408 (59)
On the Schrödinger flows [PDF]
Proceedings of the ICM, Beijing 2002, vol. 2, 283--292, 2003 We present some recent results on the existence of solutions of the Schr\"odinger flows, and pose some problems for further research.
Weiyue Ding
arxiv +2 more sources
Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds
Journal of Mathematical Study, 2021 We prove the smoothness of weak solutions to a class of complex Hessian equations on closed Kähler manifolds, by use of the smoothing property of the corresponding gradient flow. AMS subject classifications: 32W20, 35K55, 53C44.
Weimin Wang
semanticscholar +1 more source
A regularized gradient flow for the p-elastic energy
Advances in Nonlinear Analysis, 2022 We prove long-time existence for the negative L2{L}^{2}-gradient flow of the p-elastic energy, p≥2p\ge 2, with an additive positive multiple of the length of the curve.
Blatt Simon +2 more
doaj +1 more source
Advances in Nonlinear Analysis, 2023 This article presents new local and global gradient estimates of Li-Yau type for positive solutions to a class of nonlinear elliptic equations on smooth metric measure spaces involving the Witten Laplacian.
Taheri Ali, Vahidifar Vahideh
doaj +1 more source
Uniqueness of instantaneously complete Ricci flows [PDF]
, 2013 We prove uniqueness of instantaneously complete Ricci flows on surfaces. We do not require any bounds of any form on the curvature or its growth at infinity, nor on the metric or its growth (other than that implied by instantaneous completeness). Coupled
P. Topping
semanticscholar +1 more source
Equivariant Ricci flow with surgery and applications to finite group actions on geometric 3-manifolds [PDF]
, 2008 We apply an equivariant version of Perelman’s Ricci flow with surgery to study smooth actions by finite groups on closed 3‐manifolds. Our main result is that such actions on elliptic and hyperbolic 3‐manifolds are conjugate to isometric actions ...
Jonathan Dinkelbach, B. Leeb
semanticscholar +1 more source
The Weyl tensor of gradient Ricci solitons [PDF]
, 2013 This paper derives new identities for the Weyl tensor on a gradient Ricci soliton, particularly in dimension four. First, we prove a Bochner‐Weitzenbock-type formula for the norm of the self-dual Weyl tensor and discuss its applications, including ...
Xiaodong Cao, Hung Tran
semanticscholar +1 more source
Dimensional reduction and the long-time behavior of Ricci flow [PDF]
, 2007 If g.t/ is a three-dimensional Ricci flow solution, with sectional curvatures that are O.t / and diameter that is O.t/, then the pullback Ricci flow solution on the universal cover approaches a homogeneous expanding soliton.
J. Lott
semanticscholar +1 more source
An inequality for the minimum affine curvature of a plane curve
, 2020 As an application of the affine curve shortening flow, we will prove an inequality for minimum affine curvature of a smooth simple closed curve in the Euclidean plane. Résumé. Comme application du flot de raccourcissement des courbes, nous prouverons une
Yunlong Yang
semanticscholar +1 more source
On the stability of harmonic maps under the homogeneous Ricci flow
Complex Manifolds, 2018 In this work we study properties of stability and non-stability of harmonic maps under the homogeneous Ricci flow.We provide examples where the stability (non-stability) is preserved under the Ricci flow and an example where the Ricci flow does not ...
Prado Rafaela F. do, Grama Lino
doaj +1 more source