English

The Moser-Trudinger inequality on Kahler-Einstein manifolds

Differential Geometry 2018-12-20 v2

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.

Keywords

Cite

@article{arxiv.math/0604076,
  title  = {The Moser-Trudinger inequality on Kahler-Einstein manifolds},
  author = {D. H. Phong and Jian Song and Jacob Sturm and Ben Weinkove},
  journal= {arXiv preprint arXiv:math/0604076},
  year   = {2018}
}

Comments

18 pages. Minor corrections

R2 v1 2026-07-22T17:33:54.534Z