• DOI:10.1007/s12220-021-00631-2
Corpus ID: 231942462

New Hsiung-Minkowski identities

@inproceedings{Albuquerque2021NewHI,
  title={New Hsiung-Minkowski identities},
  author={R. Albuquerque},
  year={2021}
}

• R. Albuquerque
• Published 2021
• Mathematics

We find the first three most general Minkowski or Hsiung-Minkowski identities relating the total mean curvatures Hi, of degrees i = 1, 2, 3, of a closed hypersurface N immersed in a given orientable Riemannian manifold M endowed with any given vector field P . Then we specialise the three identities to the case when P is a position vector field. We further obtain that the classical Minkowski identity is natural to all Riemannian manifolds and, moreover, that a corresponding 1st degree Hsiung… Expand

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