The Moser-Trudinger inequality on Kahler-Einstein manifolds

Abstract

We prove the conjecture of Tian on the strong form of the Moser-Trudinger inequality for Kahler-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.

18 pages. Minor corrections

Cited by in corpus (1)

• On energy functionals, Kahler-Einstein metrics, and the Moser-Trudinger-Onofri neighborhood