Harmonic functions on asymptotic cones with Euclidean volume growth

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)69-126
Number of pages58
JournalJournal of the Mathematical Society of Japan
Volume67
Issue number1
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes

Keywords

  • Gromov-Hausdorff convergence
  • Lipschitz functions and harmonic functions
  • Ricci curvature

ASJC Scopus subject areas

  • Mathematics(all)

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