Compactness theory of the space of super Ricci flows
RH Bamler - Inventiones mathematicae, 2023 - Springer
We develop a compactness theory for super Ricci flows, which lays the foundations for the
partial regularity theory in Bamler (Structure Theory of Non-collapsed Limits of Ricci Flows …
partial regularity theory in Bamler (Structure Theory of Non-collapsed Limits of Ricci Flows …
Heat kernel on Ricci shrinkers
In this paper, we systematically study the heat kernel of the Ricci flows induced by Ricci
shrinkers. We develop several estimates which are much sharper than their counterparts in …
shrinkers. We develop several estimates which are much sharper than their counterparts in …
On K\" ahler Ricci shrinker surfaces
arXiv:2301.09784v1 [math.DG] 24 Jan 2023 Page 1 On Kähler Ricci shrinker surfaces Yu Li
and Bing Wang January 25, 2023 Abstract In this paper, we prove that any Kähler Ricci shrinker …
and Bing Wang January 25, 2023 Abstract In this paper, we prove that any Kähler Ricci shrinker …
The local entropy along Ricci flow---Part B: the pseudo-locality theorems
B Wang - arXiv preprint arXiv:2010.09981, 2020 - arxiv.org
We localize the entropy functionals of G. Perelman and generalize his no-local-collapsing
theorem and pseudo-locality theorem. Our generalization is technically inspired by further …
theorem and pseudo-locality theorem. Our generalization is technically inspired by further …
K\" ahler-Ricci shrinkers and Fano fibrations
S Sun, J Zhang - arXiv preprint arXiv:2410.09661, 2024 - arxiv.org
In this paper, we build connections between K\" ahler-Ricci shrinkers, ie, complete (possibly
non-compact) shrinking gradient K\" ahler-Ricci solitons, and algebraic geometry. In …
non-compact) shrinking gradient K\" ahler-Ricci solitons, and algebraic geometry. In …
Rigidity of the round cylinders in Ricci shrinkers
RIGIDITY OF THE ROUND CYLINDERS IN RICCI SHRINKERS Yu Li & Bing Wang Abstract
Contents 1. Introduction 817 2. Preliminaries Page 1 j. differential geometry 127 (2024) 817-897 …
Contents 1. Introduction 817 2. Preliminaries Page 1 j. differential geometry 127 (2024) 817-897 …
Geometry and Analysis of Gradient Ricci Solitons in Dimension Four
[Dedicated to Richard S. Hamilton on forty years of Ricci flow] Gradient Ricci solitons have
garnered significant attention both as self-similar solutions and singularity models of the …
garnered significant attention both as self-similar solutions and singularity models of the …
Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications
X Song, L Wu, M Zhu - Journal of Geometry and Physics, 2023 - Elsevier
We establish a Gaussian upper bound of the heat kernel for the Laplace-Beltrami operator
on complete Riemannian manifolds with Bakry-Émery Ricci curvature bounded below. As …
on complete Riemannian manifolds with Bakry-Émery Ricci curvature bounded below. As …
Ends of (singular) Ricci shrinkers
A Bertellotti, R Buzano - arXiv preprint arXiv:2407.04131, 2024 - arxiv.org
We estimate the number of ends of smooth and singular Ricci shrinkers focussing first on
general ends and later on asymptotically conical ones. In particular, we obtain a variety of …
general ends and later on asymptotically conical ones. In particular, we obtain a variety of …