The Moser-Trudinger inequality on Kahler-Einstein manifolds
classification
🧮 math.DG
keywords
inequalitykahler-einsteinmanifoldsmoser-trudingerwhenautomorphismchernclass
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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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