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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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1067-1085
Launched on MUSE
2008-08-07
Open Access
No
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