On the kinematic formula of the total mean curvature matrix (Q515105)
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scientific article; zbMATH DE number 6693690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the kinematic formula of the total mean curvature matrix |
scientific article; zbMATH DE number 6693690 |
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On the kinematic formula of the total mean curvature matrix (English)
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9 March 2017
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The present paper is based on an earlier study of the authors [Adv. Appl. Math. 68, 1--17 (2015; Zbl 1375.52005)], where they introduce a new ellipsoid associated with a submanifold, and establish an integral formula for the total mean curvature matrix of hypersurfaces. Here, a kinematic formula for the total mean curvature matrix of submanifolds in \(\mathbb{R}^n\) is proved.
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LYZ ellipsoid
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mean curvature vector
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total mean curvature matrix
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kinematic formula
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