Open Access
2017 On the Kinematic Formula of the Total Mean Curvature Matrix
Chunna Zeng, Lei Ma, Yin Tong
Taiwanese J. Math. 21(1): 43-54 (2017). DOI: 10.11650/tjm.21.2017.7740

Abstract

In an earlier paper [23] the authors introduced a new ellipsoid associated with a submanifold, and established an integral formula for the total mean curvature matrix of hypersurfaces. In the present paper a kinematic formula for the total mean curvature matrix of submanifolds in $\mathbb{R}^{n}$ is proved.

Citation

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Chunna Zeng. Lei Ma. Yin Tong. "On the Kinematic Formula of the Total Mean Curvature Matrix." Taiwanese J. Math. 21 (1) 43 - 54, 2017. https://doi.org/10.11650/tjm.21.2017.7740

Information

Published: 2017
First available in Project Euclid: 1 July 2017

zbMATH: 1375.53021
MathSciNet: MR3613973
Digital Object Identifier: 10.11650/tjm.21.2017.7740

Subjects:
Primary: 52A20
Secondary: 52A22

Keywords: kinematic formula , LYZ ellipsoid , Mean curvature vector , total mean curvature matrix

Rights: Copyright © 2017 The Mathematical Society of the Republic of China

Vol.21 • No. 1 • 2017
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