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Liouville theorems,
volume growth, and volume comparison for Ricci shrinkers
Li Ma |
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Vol. 296 (2018), No. 2, 357–369
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Abstract |
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We study volume growth, a Liouville theorem for -harmonic functions, and a volume comparison property of unit balls in complete noncompact gradient Ricci shrinkers and gradient steady Ricci solitons. We also study integral properties of -harmonic functions and harmonic functions on complete manifolds, such as the Ricci–Einstein solitons. |
Keywords
Ricci shrinkers, $f$-harmonic functions, Liouville theorem,
volume comparison
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Mathematical Subject Classification 2010
Primary: 53C21, 53C44, 53C25
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Milestones
Received: 3 January 2017
Revised: 5 December 2017
Accepted: 2 March 2018
Published: 16 July 2018
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Authors |
| Li Ma | |
| School of Mathematics and
Physics University of Science and Technology Beijing Beijing China |
Department of Mathematics Henan Normal University Xinxiang China |
