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The Moser-Trudinger inequality on Kahler-Einstein manifolds

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

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D. H. Phong, Jian Song, Jacob Sturm, Ben Weinkove. 2006-12-18. The Moser-Trudinger inequality on Kahler-Einstein manifolds. https://arxiv.org/abs/math/0604076

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