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arXiv · 2010.07502

Extrinsic curvature and conformal Gauss-Bonnet for four-manifolds with corner

Stephen E. McKeown
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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.

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Stephen E. McKeown. 2020-10-15. Extrinsic curvature and conformal Gauss-Bonnet for four-manifolds with corner. https://doi.org/10.2140/pjm.2021.314.411

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