Extrinsic curvature and conformal Gauss-Bonnet for four-manifolds with corner
Differential Geometry
2021-11-10 v1
Abstract
This paper defines two new extrinsic curvature quantities on the corner of a four-dimensional Riemannian manifold with corner. One of these is a pointwise conformal invariant, and the conformal transformation of the other is governed by a new linear second-order pointwise conformally invariant partial differential operator. The Gauss-Bonnet theorem is then stated in terms of these quantities.
Keywords
Cite
@article{arxiv.2010.07502,
title = {Extrinsic curvature and conformal Gauss-Bonnet for four-manifolds with corner},
author = {Stephen E. McKeown},
journal= {arXiv preprint arXiv:2010.07502},
year = {2021}
}
Comments
14 pages