Two Kazdan-Warner-type identities for the renormalized volume coefficients and the Gauss-Bonnet curvatures of a Riemannian metric (Q635666)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two Kazdan-Warner-type identities for the renormalized volume coefficients and the Gauss-Bonnet curvatures of a Riemannian metric |
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Two Kazdan-Warner-type identities for the renormalized volume coefficients and the Gauss-Bonnet curvatures of a Riemannian metric (English)
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22 August 2011
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The authors observe that a theorem by Viaclovsky and the second author (2000) regarding locally conformally flat vector fields on a locally conformally flat compact Riemannian manifold of dimension \(\geq 3\) admits an interpretation in terms of Gauss-Bonnet curvatures (introduced by H. Weyl in 1939). The theorem is also generalized.
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Gauss-Bonnet curvature
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Riemannian manifold
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conformal Killing vector field
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