The Moser-Trudinger inequality on Kähler-Einstein manifolds

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

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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 languageAmerican English
Pages (from-to)1067-1085
Number of pages19
JournalAmerican Journal of Mathematics
Issue number4
StatePublished - Aug 2008

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'The Moser-Trudinger inequality on Kähler-Einstein manifolds'. Together they form a unique fingerprint.

Cite this