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arXiv · 1104.1883

Universal curvature identities

P. Gilkey·J. H. Park·K. Sekigawa
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Abstract

We study scalar and symmetric 2-form valued universal curvature identities. We use this to establish the Gauss-Bonnet theorem using heat equation methods, to give a new proof of a result of Kuz'mina and Labbi concerning the Euler-Lagrange equations of the Gauss-Bonnet integral, and to give a new derivation of the Euh-Park-Sekigawa identity.

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P. Gilkey, J. H. Park, K. Sekigawa. 2011-04-11. Universal curvature identities. https://arxiv.org/abs/1104.1883

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