Universal curvature identities III

P. Gilkey; J. H. Park; K. Sekigawa

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arXiv · 1209.5481

Universal curvature identities III

P. Gilkey·J. H. Park·K. Sekigawa

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Abstract

We examine universal curvature identities for pseudo-Riemannian manifolds with boundary. We determine the Euler-Lagrange equations associated to the Chern-Gauss-Bonnet formula and show that they are given solely in terms of curvature {and the second fundamental form and do not involve covariant derivatives thus generalizing a conjecture of Berger to this context.

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P. Gilkey, J. H. Park, K. Sekigawa. 2012-09-25. Universal curvature identities III. https://arxiv.org/abs/1209.5481

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