The Moser-Trudinger inequality on Kahler-Einstein manifolds

Details The Moser-Trudinger inequality on Kahler-Einstein manifolds The Moser-Trudinger inequality on Kahler-Einstein manifolds

2006-04-04

arxiv.org/abs/math/0604076v2

Mathematics

Differential Geometry

18 pages. Minor corrections

Scientific paper

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.

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