Volume growth estimates of gradient Ricci solitons
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
TL;DR
This paper surveys existing volume growth estimates for gradient Ricci solitons and introduces new estimates specifically for expanding solitons, enhancing understanding of their geometric properties.
Contribution
It provides a comprehensive survey and presents novel volume growth estimates for expanding gradient Ricci solitons, expanding current knowledge.
Findings
New volume growth estimates for expanding gradient Ricci solitons
Summary of known results for shrinking and steady solitons
Enhanced understanding of geometric behavior of Ricci solitons
Abstract
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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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research