# 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.

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