Kähler–Ricci solitons on compact complex manifolds with C1(M) > 0
- First Online:
- Cite this article as:
- Cao, H., Tian, G. & Zhu, X. GAFA, Geom. funct. anal. (2005) 15: 697. doi:10.1007/s00039-005-0522-y
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.