Universal curvature identities III
Differential Geometry
2012-09-26 v1
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.
Cite
@article{arxiv.1209.5481,
title = {Universal curvature identities III},
author = {P. Gilkey and J. H. Park and K. Sekigawa},
journal= {arXiv preprint arXiv:1209.5481},
year = {2012}
}
Comments
16 pages