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Title: Minkowski identities for hypersurfaces in constant sectional curvature manifolds
Authors: Albuquerque, Rui
Editors: Slovák, Jan
Keywords: sistemas diferenciais
Curvatura média
identidades integrais
Issue Date: 2019
Publisher: Elsevier
Citation: Rui Albuquerque, Minkowski identities for hypersurfaces in constant sectional Curvature manifolds, Differential Geometry and its Applications, Volume 67, 2019, 101561, ISSN 0926-2245,
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.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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