# 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} }

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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