The Moser-Trudinger inequality on Kähler-Einstein manifolds

TY - JOUR

T1 - The Moser-Trudinger inequality on Kähler-Einstein manifolds

AU - Phong, D. H.

AU - Song, Jian

AU - Sturm, Jacob

AU - Weinkove, Ben

PY - 2008/8

Y1 - 2008/8

N2 - We prove the conjecture of Tian on the strong form of the Moser-Trudinger inequality for Kähler-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.

AB - We prove the conjecture of Tian on the strong form of the Moser-Trudinger inequality for Kähler-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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U2 - https://doi.org/10.1353/ajm.0.0013

DO - https://doi.org/10.1353/ajm.0.0013

M3 - Article

SN - 0002-9327

VL - 130

SP - 1067

EP - 1085

JO - American Journal of Mathematics

JF - American Journal of Mathematics

IS - 4

ER -