HEAT KERNEL ON RICCI SHRINKERS (II)*

doi:10.1007/s10473-024-0502-7

数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (5): 1639-1695.doi: 10.1007/s10473-024-0502-7

HEAT KERNEL ON RICCI SHRINKERS (II)^*

Yu Li^1,2,†, Bing Wang^1,2

1. Institute of Geometry and Physics, University of Science and Technology of China, Hefei 230026, China;
2. Hefei National Laboratory, Hefei 230088, China

收稿日期:2023-02-07 修回日期:2024-05-29 出版日期:2024-10-25 发布日期:2024-10-22
通讯作者: †Yu LI, E-mail,: yuli21@ustc.edu.cn
作者简介:Bing Wan, E-mail,: topspin@ustc.edu.cn
基金资助:
Li's research was supported by the YSBR-001, the NSFC (12201597) and research funds from USTC (University of Science and Technology of China) and CAS (Chinese Academy of Sciences). Wang's research was supported by the YSBR-001, the NSFC (11971452, 12026251) and a research fund from USTC.

HEAT KERNEL ON RICCI SHRINKERS (II)^*

Yu Li^1,2,†, Bing Wang^1,2

1. Institute of Geometry and Physics, University of Science and Technology of China, Hefei 230026, China;
2. Hefei National Laboratory, Hefei 230088, China

Received:2023-02-07 Revised:2024-05-29 Online:2024-10-25 Published:2024-10-22
Contact: †Yu LI, E-mail,: yuli21@ustc.edu.cn
About author:Bing Wan, E-mail,: topspin@ustc.edu.cn
Supported by:
Li's research was supported by the YSBR-001, the NSFC (12201597) and research funds from USTC (University of Science and Technology of China) and CAS (Chinese Academy of Sciences). Wang's research was supported by the YSBR-001, the NSFC (11971452, 12026251) and a research fund from USTC.

摘要/Abstract

摘要： 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.

关键词: Ricci flow, Ricci shrinker, heat kernel

Abstract: 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.

Key words: Ricci flow, Ricci shrinker, heat kernel

中图分类号:

53C44

Yu Li, Bing Wang. HEAT KERNEL ON RICCI SHRINKERS (II)^*[J]. 数学物理学报(英文版), 2024, 44(5): 1639-1695.

Yu Li, Bing Wang. HEAT KERNEL ON RICCI SHRINKERS (II)^*[J]. Acta mathematica scientia,Series B, 2024, 44(5): 1639-1695.

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HEAT KERNEL ON RICCI SHRINKERS (II)^*

HEAT KERNEL ON RICCI SHRINKERS (II)^*

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