Vol. 265, No. 1, 2013

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On volume growth of gradient steady Ricci solitons

Guofang Wei and Peng Wu

Vol. 265 (2013), No. 1, 233–241
Abstract

In this paper we study volume growth of gradient steady Ricci solitons. We show that if the potential function satisfies a uniform condition, then the soliton has at most euclidean volume growth.

Keywords
Ricci solitons, volume growth
Mathematical Subject Classification 2010
Primary: 53CXX
Milestones
Received: 12 July 2012
Revised: 9 November 2012
Accepted: 9 April 2013
Published: 28 August 2013
Authors
Guofang Wei
Math Department
UC Santa Barbara
Santa Barbara, CA 93106
United States
Peng Wu
Math Department
Cornell University
Ithaca, NY 14853
United States