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arXiv:1609.09332 [math.DG]AbstractReferencesReviewsResources

Liouville theorems, Volume growth, and volume comparison for Ricci shrinkers

Li Ma

Published 2016-09-29Version 1

In this paper, we study volume growth, Liouville theorem and the local gradient estimate for $f$-harmonic functions, and volume comparison property of unit balls in complete noncompact gradient Ricci shrinkers. We also study integral properties of f-harmonic functions and harmonic functions on such manifolds.

Comments: 14 pages
Categories: math.DG, math.AP
Subjects: 53C21, 53C44, 53C21, 53C25
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