A proof of the Chern-Gauss-Bonnet theorem for indefinite signature metrics using analytic continuation

P. Gilkey; J. H. Park

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arXiv · 1405.7613

A proof of the Chern-Gauss-Bonnet theorem for indefinite signature metrics using analytic continuation

P. Gilkey·J. H. Park

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Abstract

We derive the Chern-Gauss-Bonnet Theorem for manifolds with smooth non-degenerate boundary in the pseudo-Riemannian context from the corresponding result in the Riemannian setting by examining the Euler-Lagrange equations associated to the Pfaffian of a complex "metric" on the tangent space and then applying analytic continuation.

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BibTeX RIS

P. Gilkey, J. H. Park. 2014-05-29. A proof of the Chern-Gauss-Bonnet theorem for indefinite signature metrics using analytic continuation. https://arxiv.org/abs/1405.7613

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