November 2022 Extensions of Bonnet-Myers-type theorems with the Bakry-Emery Ricci curvature
Hongbing Qiu
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Kodai Math. J. 45(3): 349-357 (November 2022). DOI: 10.2996/kmj45302

Abstract

In this paper, we prove extensions of Bonnet-Myers-type theorems obtained by Calabi and Cheeger-Gromov-Taylor via Bakry-Emery Ricci curvature.

Funding Statement

This work is partially supported by NSFC (No. 11771339) and Hubei Provincial Natural Science Foundation of China (No. 2021CFB400).

Acknowledgment

The author thanks Dr. Jianming Wan for providing him with the work of [32] and for helpful discussions. He would like to express his gratitude to Professor Tobias H. Colding for his invitation to MIT and their hospitality. He also thanks the referee for valuable suggestions which improved the paper.

Citation

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Hongbing Qiu. "Extensions of Bonnet-Myers-type theorems with the Bakry-Emery Ricci curvature." Kodai Math. J. 45 (3) 349 - 357, November 2022. https://doi.org/10.2996/kmj45302

Information

Received: 4 July 2020; Revised: 20 May 2022; Published: November 2022
First available in Project Euclid: 1 December 2022

MathSciNet: MR4516945
zbMATH: 1506.53047
Digital Object Identifier: 10.2996/kmj45302

Subjects:
Primary: 53C20
Secondary: 53C21

Keywords: Bakry-Emery Ricci curvature , Bonnet-Myers-type theorem , Comparison theorem , Distance function , ray

Rights: Copyright © 2022 Tokyo Institute of Technology, Department of Mathematics

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Vol.45 • No. 3 • November 2022
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