Kähler manifolds with Ricci curvature lower bound

Gang Liu*

*Corresponding author for this work

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

On Kähler manifolds with Ricci curvature bounded from below, we establish some theorems which are counterparts of some classical theorems in Riemannian geometry, for example, Bishop-Gromov's relative volume comparison, Bonnet-Meyers theorem, and Yau's gradient estimate for positive harmonic functions. The tool is a Bochner type formula reflecting the Kähler structure.

Original languageEnglish (US)
Pages (from-to)69-100
Number of pages32
JournalAsian Journal of Mathematics
Volume18
Issue number1
DOIs
StatePublished - Jan 1 2014

Keywords

  • Comparison theorem
  • Kähler manifold

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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