Remarks on the existence problem of positive Kähler-Einstein metrics (Q1113110)
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scientific article; zbMATH DE number 4080331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on the existence problem of positive Kähler-Einstein metrics |
scientific article; zbMATH DE number 4080331 |
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Remarks on the existence problem of positive Kähler-Einstein metrics (English)
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1988
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The main result of this paper is that if M is a compact Kähler manifold with positive first Chern class \(c_ 1(M)\) then an invariant \(\eta\) (M) may be defined such that \(\eta (M)<1\) implies the existence of a Kähler-Einstein metric on M. \(\eta\) (M) is obtained from the study of an inequality discussed by \textit{T. Aubin} [J. Funct. Anal. 57, 143-153 (1984; Zbl 0538.53063)].
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Kähler manifold
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first Chern class
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Kähler-Einstein metric
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