Minkowski identities for hypersurfaces in constant sectional curvature manifolds

R. Albuquerque

doi:10.1016/j.difgeo.2019.101561

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arXiv · 1812.06339

Minkowski identities for hypersurfaces in constant sectional curvature manifolds

R. Albuquerque

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Abstract

We give a new proof of the generalized Minkowski identities relating the higher degree mean curvatures of orientable closed hypersurfaces immersed in a given constant sectional curvature manifold. Our methods rely on a fundamental differential system of Riemannian geometry introduced by the author. We develop the notion of position vector field, which lies at the core of the Minkowski identities.

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BibTeX RIS

R. Albuquerque. 2018-12-15. Minkowski identities for hypersurfaces in constant sectional curvature manifolds. https://doi.org/10.1016/j.difgeo.2019.101561

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