Geometric & Functional Analysis GAFA

, Volume 15, Issue 3, pp 697–719

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

Authors

    • Department of MathematicsTexas A&M University
  • Gang Tian
    • Department of MathematicsMassachusetts Institute of Technology
    • School of Mathematical SciencesPeking University
    • Department of Mathematics 
  • Xiaohua Zhu
    • School of Mathematical SciencesPeking University
Original Paper

DOI: 10.1007/s00039-005-0522-y

Cite this article as:
Cao, H., Tian, G. & Zhu, X. GAFA, Geom. funct. anal. (2005) 15: 697. doi:10.1007/s00039-005-0522-y

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.

Copyright information

© Birkhäuser Verlag, Basel 2005