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January, 2015 Harmonic functions on asymptotic cones with Euclidean volume growth
Shouhei HONDA
J. Math. Soc. Japan 67(1): 69-126 (January, 2015). DOI: 10.2969/jmsj/06710069

Abstract

We study harmonic functions with polynomial growth on asymptotic cones of a nonnegatively Ricci curved manifold with Euclidean volume growth. Especially, we will give the classification of such harmonic functions.

Citation

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Shouhei HONDA. "Harmonic functions on asymptotic cones with Euclidean volume growth." J. Math. Soc. Japan 67 (1) 69 - 126, January, 2015. https://doi.org/10.2969/jmsj/06710069

Information

Published: January, 2015
First available in Project Euclid: 22 January 2015

zbMATH: 1317.53051
MathSciNet: MR3304015
Digital Object Identifier: 10.2969/jmsj/06710069

Subjects:
Primary: 53C20
Secondary: 53C43

Keywords: Gromov-Hausdorff convergence , Lipschitz functions and harmonic functions , Ricci curvature

Rights: Copyright © 2015 Mathematical Society of Japan

Vol.67 • No. 1 • January, 2015
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