Volume Growth Estimates of Gradient Ricci Solitons

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.

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Bibliographic Details
Published inThe Journal of geometric analysis Vol. 32; no. 12
Main Authors Chan, Pak-Yeung, Ma, Zilu, Zhang, Yongjia
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2022
Springer Nature B.V
Subjects
Abstract Harmonic Analysis
Analysis and Geometry of Complete Manifolds: A Special Issue in Honor of Peter Li
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Estimates
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Solitary waves
Volume estimates
Expanding gradient Ricci solitons
53C25
Shrinking
Steady
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Summary: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.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-022-01026-7