里奇收缩器上的热核 (II)

IF 1.2 4区数学 Q1 MATHEMATICS Acta Mathematica Scientia Pub Date : 2024-08-27 DOI:10.1007/s10473-024-0502-7

Yu Li, Bing Wang

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引用次数: 0

摘要

本文是我们对里奇收缩器热核研究的续篇[29]。在本文中，我们改进了 [29] 中的许多估计，并扩展了 Bamler [2] 的最新进展。特别是，我们放弃了紧凑性和曲率有界性假设，并证明了 \(\mathbb{F}\)-convergence 理论在任何由利玛窦收缩器诱导的利玛窦流上都自然成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Heat kernel on Ricci shrinkers (II)

This paper is the sequel to our study of heat kernel on Ricci shrinkers [29]. In this paper, we improve many estimates in [29] and extend the recent progress of Bamler [2]. In particular, we drop the compactness and curvature boundedness assumptions and show that the theory of \(\mathbb{F}\)-convergence holds naturally on any Ricci flows induced by Ricci shrinkers.

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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.