Asymptotic estimates and compactness of expanding gradient Ricci solitons

2014/11/10 by Deruelle, Alix · 2 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1411.2366

Abstract

We first investigate the asymptotics of conical expanding gradient Ricci solitons by proving sharp decay rates to the asymptotic cone both in the generic and the asymptotically Ricci flat case. We then establish a compactness theorem concerning nonnegatively curved expanding gradient Ricci solitons.

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• Curvature estimates for steady and expanding solitons in higher dimensions
• On curvature estimates for four-dimensional gradient Ricci solitons

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