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The Moser-Trudinger inequality on Kähler-Einstein manifolds
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 130, Number 4, August 2008
- pp. 1067-1085
- 10.1353/ajm.0.0013
- Article
- Additional Information
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Abstract
We prove the conjecture of Tian on the strong form of the Moser-Trudinger inequality for K\"ahler-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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