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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Veröffentlicht in:	The Journal of Geometric Analysis 2022-12, Vol.32 (12), Article 291
Hauptverfasser:	Chan, Pak-Yeung, Ma, Zilu, Zhang, Yongjia
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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