Piecewise Flat Extrinsic Curvature
Differential Geometry
2018-06-05 v1
Abstract
Discretizations of the mean curvature and extrinsic curvature components are constructed on piecewise flat simplicial manifolds, giving approximations for smooth curvature values in a mostly mesh-independent way. These constructions are given in combinatoric form in terms of the extrinsic hinge angles, the intrinsic structure of the piecewise flat manifold and a choice of dual tessellation, and can be viewed as the average of -volume integrals. The constructions are also independent of the manifold dimension.
Cite
@article{arxiv.1612.07753,
title = {Piecewise Flat Extrinsic Curvature},
author = {Rory Conboye},
journal= {arXiv preprint arXiv:1612.07753},
year = {2018}
}