Results 61 to 70 of about 4,657,305 (302)

The Ricci flow under almost non-negative curvature conditions [PDF]

Inventiones Mathematicae, 2017
We generalize most of the known Ricci flow invariant non-negative curvature conditions to less restrictive negative bounds that remain sufficiently controlled for a short time.
R. Bamler, Esther Cabezas-Rivas, Burkhard Wilking   +2 more
semanticscholar   +1 more source

Ricci flows with unbounded curvature [PDF]

Mathematische Zeitschrift, 2012
Until recently, Ricci flow was viewed almost exclusively as a way of deforming Riemannian metrics of bounded curvature. Unfortunately, the bounded curvature hypothesis is unnatural for many applications, but is hard to drop because so many new phenomena can occur in the general case.
Gregor Giesen, Peter M. Topping
openaire   +5 more sources

Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces [PDF]

Geometry and Topology, 2017
We use Ricci flow to obtain a local bi-Holder correspondence between Ricci limit spaces in three dimensions and smooth manifolds. This is more than a complete resolution of the three-dimensional case of the conjecture of Anderson-Cheeger-Colding-Tian ...
Miles Simon, P. Topping
semanticscholar   +1 more source

The spinorial energy for asymptotically Euclidean Ricci flow

Advanced Nonlinear Studies, 2023
This article introduces a functional generalizing Perelman’s weighted Hilbert-Einstein action and the Dirichlet energy for spinors. It is well defined on a wide class of noncompact manifolds; on asymptotically Euclidean manifolds, the functional is shown
Baldauf Julius, Ozuch Tristan
doaj   +1 more source

A note on conformal Ricci flow [PDF]

Pacific Journal of Mathematics, 2014
In this note we study conformal Ricci flow introduced by Arthur Fischer. We use DeTurck's trick to rewrite conformal Ricci flow as a strong parabolic-elliptic partial differential equations. Then we prove short time existences for conformal Ricci flow on compact manifolds as well as on asymptotically flat manifolds.
Lu, Peng, Qing, Jie, Zheng, Yu
openaire   +4 more sources

Ricci Solitons and Einstein-Scalar Field Theory

, 2009
B List has recently studied a geometric flow whose fixed points correspond to static Ricci flat spacetimes. It is now known that this flow is in fact Ricci flow modulo pullback by a certain diffeomorphism.
Anderson M T, Bartnik R, Cao H-D, Chow B, Chow B, E Woolgar, Fisher I Z, Huisken G, Huisken G, Ivey T, J-F Li, Lichnerowicz A, List B, Lott J, M M Akbar, Morgan J, Morgan J Tian G, Petersen P, Sullivan D, Tod P, Yau S-T   +20 more
core   +3 more sources

Ricci-Bourgoignon Flow on Contact Manifolds

پژوهش‌های ریاضی, 2020
Introduction After pioneering work of Hamilton in 1982, Ricci flow and other geometric flows became as one of the most interesting topics in both mathematics and physics.
Ghodratallah Fasihi-Ramandi, Shahroud Azami   +1 more
doaj  

Eguchi–Hanson Singularities in U(2)-Invariant Ricci Flow [PDF]

Peking Mathematical Journal, 2019
We show that a Ricci flow in four dimensions can develop singularities modeled on the Eguchi–Hanson space. In particular, we prove that starting from a class of asymptotically cylindrical U (2)-invariant initial metrics on $$TS^2$$ T S 2 , a Type II ...
Alexander Appleton
semanticscholar   +1 more source

The Ricci curvature and the normalized Ricci flow on the Stiefel manifolds $ \operatorname{SO}(n)/\operatorname{SO}(n-2) $

Electronic Research Archive
We proved that on every Stiefel manifold $ V_2\mathbb{R}^n\cong \operatorname{SO}(n)/\operatorname{SO}(n-2) $ with $ n\ge 3 $ the normalized Ricci flow preserves the positivity of the Ricci curvature of invariant Riemannian metrics with positive Ricci ...
Nurlan A. Abiev
doaj   +1 more source

On the Uniqueness of Ricci Flow

The Journal of Geometric Analysis, 2018
All comments are welcome!
openaire   +3 more sources