The Moser-Trudinger inequality on Kähler-Einstein manifolds

• Autores: Duong H. Phong, Jian Song, Jacob Sturm, Ben Weinkove
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 4, 2008, págs. 1067-1085
• Idioma: inglés
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• Resumen

  • 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.