Invariant polynomials of the automorphism group of a compact complex manifold (Q1079829)
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scientific article; zbMATH DE number 3964931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant polynomials of the automorphism group of a compact complex manifold |
scientific article; zbMATH DE number 3964931 |
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Invariant polynomials of the automorphism group of a compact complex manifold (English)
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1985
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Let M be a compact complex manifold and h(M) the Lie algebra of all holomorphic vector fields on M. When \(c_ 1(M)>0\), the first author [Invent. Math. 73, 437-443 (1983; Zbl 0506.53030)] defined a character f: h(M)\(\to C\) which gives an obstruction to the existence of Einstein- Kähler metrics on M. The purpose of this paper is to give interpretations of f in terms of the Gysin map and in terms of secondary characteristic classes.
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automorphism group
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complex manifold
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Einstein-Kähler metrics
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Gysin map
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