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arXiv · 1609.09332

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

Li Ma
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Abstract

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.

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Li Ma. 2016-09-29. Liouville theorems, Volume growth, and volume comparison for Ricci shrinkers. https://doi.org/10.2140/pjm.2018.296.357

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