A Curvature identity on a 4-dimensional Riemannian manifold
Differential Geometry
2010-08-17 v1
Abstract
We give a curvature identity derived from the generalized Gauss-Bonnet formula for 4-dimensional compact oriented Riemannian manifolds. We prove that the curvature identity holds on any 4-dimensional Riemannian manifold which is not necessarily compact. We also provide some applications of the identity.
Keywords
Cite
@article{arxiv.1008.2439,
title = {A Curvature identity on a 4-dimensional Riemannian manifold},
author = {Y. Euh and J. H. Park and K. Sekigawa},
journal= {arXiv preprint arXiv:1008.2439},
year = {2010}
}
Comments
10 pages