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Minkowski identities for hypersurfaces in constant sectional curvature manifolds

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 نشر من قبل Rui Albuquerque
 تاريخ النشر 2018
  مجال البحث
والبحث باللغة English
 تأليف R. Albuquerque




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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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