Corpus ID: 119147172

On the Minkowski identities on hypersurfaces of space forms

@article{Albuquerque2018OnTM,
  title={On the Minkowski identities on hypersurfaces of space forms},
  author={R. Albuquerque},
  journal={arXiv: Differential Geometry},
  year={2018}
}
We give a new proof of the generalised Minkowski identities relating the higher degree total mean curvatures on closed hypersurfaces $N\subset M$ immersed in a constant sectional curvature manifold $M$. Our methods rely on a fundamental exterior differential system of Riemannian geometry introduced by the author. We clarify the notion of position vector field, which lies at the core of the Minkowski identities. 
2 Citations

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