Minkowski identities for hypersurfaces in constant sectional curvature manifolds

@article{Albuquerque2018MinkowskiIF,
  title={Minkowski identities for hypersurfaces in constant sectional curvature manifolds},
  author={R. Albuquerque},
  journal={Differential Geometry and Its Applications},
  year={2018},
  volume={67},
  pages={101561}
}
  • R. Albuquerque
  • Published 2018
  • Mathematics
  • Differential Geometry and Its Applications
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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