A generalization of the total mean curvature
Differential Geometry
2020-03-20 v2
Abstract
A special formula for the total mean curvature of an ovaloid is derived. This formula allows us to extend the notion of the mean curvature to the class of boundaries of strictly convex sets. Moreover, some integral formula for ovaloids is proved.
Cite
@article{arxiv.1912.10662,
title = {A generalization of the total mean curvature},
author = {Katarzyna Charytanowicz and Waldemar Cieslak and Witold Mozgawa},
journal= {arXiv preprint arXiv:1912.10662},
year = {2020}
}
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