Some invariant and equivariant cohomology classes of the space of Kähler metrics (Q1608299)
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scientific article; zbMATH DE number 1775616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some invariant and equivariant cohomology classes of the space of Kähler metrics |
scientific article; zbMATH DE number 1775616 |
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Some invariant and equivariant cohomology classes of the space of Kähler metrics (English)
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4 August 2002
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In this paper the author defines invariant and equivariant cohomology classes on the space of Kähler forms and discusses relations to the obstructions to existence of Kähler-Einstein metrics and Kähler metrics of harmonic Chern forms. The case of a multiplier Hermitian structure first introduced by Mabuchi and the case of a higher Chern class are considered in details.
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Hermitian and Kählerian manifolds
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invariant cohomology
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equivariant cohomology
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Kähler metrics
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