A generalization of the total mean curvature

Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2019-12-23 DOI:10.4171/rsmup/87

Katarzyna Charytanowicz, W. Cieslak, W. Mozgawa

引用次数: 1

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.

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总平均曲率的一般化

导出了一个计算卵圆总平均曲率的特殊公式。这个公式允许我们将平均曲率的概念推广到严格凸集的边界。此外，还证明了一些卵圆的积分公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Rendiconti del Seminario Matematico della Università di Padova

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