Universal curvature identities
Differential Geometry
2011-04-12 v1
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.
Keywords
Cite
@article{arxiv.1104.1883,
title = {Universal curvature identities},
author = {P. Gilkey and J. H. Park and K. Sekigawa},
journal= {arXiv preprint arXiv:1104.1883},
year = {2011}
}
Comments
11 pages