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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Received: October 2004 Revised: February 2005 Accepted: February 2005
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Cao, HD., Tian, G. & Zhu, X. Kähler–Ricci solitons on compact complex manifolds with C1(M) > 0. GAFA, Geom. funct. anal. 15, 697–719 (2005). https://doi.org/10.1007/s00039-005-0522-y
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DOI: https://doi.org/10.1007/s00039-005-0522-y