The Moser-Trudinger inequality on Kähler-Einstein manifolds

D. H. Phong*, Jian Song, Jacob Sturm, Ben Weinkove

*Corresponding author for this work

Research output: Contribution to journalArticle

37 Scopus citations

Abstract

We prove the conjecture of Tian on the strong form of the Moser-Trudinger inequality for Kähler-Einstein manifolds with positive first Chern class, when there are no holomorphic vector fields, and, more generally, when the setting is invariant under a maximal compact subgroup of the automorphism group.

Original languageEnglish (US)
Pages (from-to)1067-1085
Number of pages19
JournalAmerican Journal of Mathematics
Volume130
Issue number4
DOIs
StatePublished - Aug 1 2008

ASJC Scopus subject areas

  • Mathematics(all)

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