Universal curvature identities and Euler-Lagrange formulas for Kähler manifolds (Q296528)
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scientific article; zbMATH DE number 6597343
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal curvature identities and Euler-Lagrange formulas for Kähler manifolds |
scientific article; zbMATH DE number 6597343 |
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Universal curvature identities and Euler-Lagrange formulas for Kähler manifolds (English)
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23 June 2016
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The paper provides formulas for the first variations of integral curvature invariants under 1-parameter variation of the metric. The invariants are obtained by pairing a characteristic form coming from an \(\mathrm U(n)\)-invariant polynomial of the curvature with a power of the Kähler form. The result is an integral which does not depend on the derivatives of the curvature -- a result well known for the Pfaffian form on Riemannian manifold. The paper extends it to the Kähler case.
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universal curvature identities
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Kähler manifolds
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Euler-Lagrange formulas
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