Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Ma, Zilu"'
A noncollapsed $\mathbb{F}$-limit metric soliton is a self-similar singularity model that inevitably arises when studying the Ricci flow with the tool of $\mathbb{F}$-convergence [Bam20a,Bam20b,Bam20c]. In this article, we shall present a systematic
Externí odkaz:
http://arxiv.org/abs/2401.03387
In this paper we study 4d gradient steady Ricci solitons, which are weak $\kappa$-solutions, and admit O(3)-symmetry. Under a weak curvature decay condition, we find precise geometric asymptotics of such solitons, which are similar to those for 3d co
Externí odkaz:
http://arxiv.org/abs/2311.09405
We consider noncollapsed steady gradient Ricci solitons with nonnegative sectional curvature. We show that such solitons always dimension reduce at infinity. This generalizes an earlier result in [CDM22] to higher dimensions. In dimension four, we cl
Externí odkaz:
http://arxiv.org/abs/2310.14020
The metric flow is introduced and extensively studied by Bamler [Bam20b, Bam20c], especially as an $\mathbb{F}$-limit of a sequence of smooth Ricci flows with uniformly bounded Nash entropy, in which case each regular point on the limit is a point of
Externí odkaz:
http://arxiv.org/abs/2310.14007
We prove a local gap theorem for Ricci shrinkers, which states that if the local $\mu$-functional at scale $1$ on a large ball centered at the minimum point of the potential function is close enough to $0$, then the shrinker must be the flat gaussian
Externí odkaz:
http://arxiv.org/abs/2212.09203
In a series of papers, Bamler [Bam20a,Bam20b,Bam20c] further developed the high-dimensional theory of Hamilton's Ricci flow to include new monotonicity formulas, a completely general compactness theorem, and a long-sought partial regularity theory an
Externí odkaz:
http://arxiv.org/abs/2208.13206
Autor:
Shen, Hui, Ma, Zilu, Hans, Emma, Duan, Ying, Bi, Guo-Hua, Chae, Yurim C., Bonifazi, Alessandro, Battiti, Francisco O., Newman, Amy Hauck, Xi, Zheng-Xiong, Yang, Yihong
Publikováno v:
In Neuropharmacology 1 October 2024 257
In this paper, we survey the volume growth estimates for shrinking, steady, and expanding gradient Ricci solitons. Together with the known results, we also prove some new volume growth estimates for expanding gradient Ricci solitons.
Comment: 20
Comment: 20
Externí odkaz:
http://arxiv.org/abs/2202.13302
This article is a continuation of [CMZ21b], where we proved that a Ricci flow with a closed and smooth tangent flow has unique tangent flow, and its corresponding forward or backward modified Ricci flow converges in the rate of $t^{-\beta}$ for some
Externí odkaz:
http://arxiv.org/abs/2202.02421
We first show that any $4$-dimensional non-Ricci-flat steady gradient Ricci soliton singularity model must satisfy $|Rm|\leq cR$ for some positive constant $c$. Then, we apply the Hamilton-Ivey estimate to prove a quantitative lower bound of the curv
Externí odkaz:
http://arxiv.org/abs/2112.11025