Geometric & Functional Analysis GAFA

, Volume 15, Issue 3, pp 697–719

Kähler–Ricci solitons on compact complex manifolds with C1(M) > 0

Original Paper

Abstract.

In this paper, we discuss the relation between the existence of Kähler–Ricci solitons and a certain functional associated to some complex Monge–Ampère equation on compact complex manifolds with positive first Chern class. In particular, we obtain a strong inequality of Moser–Trudinger type on a compact complex manifold admitting a Kähler–Ricci soliton.

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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  1. 1.Department of MathematicsTexas A&M UniversityCollege StationUSA
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  3. 3.School of Mathematical SciencesPeking UniversityBeijingChina
  4. 4.Department of Mathematics PrincetonUSA
  5. 5.School of Mathematical SciencesPeking UniversityBeijingChina

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