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Curvature Conditions for Immersions of Submanifolds and Applications
Authors:Sérgio Mendonça  Detang Zhou
Affiliation:(1) Departamento de Análise, Universidade Federal Fluminense, Niterói, Brazil
Abstract:Some curvature conditions about the geodesics emanating from a submanifold are obtained. These conditions are used to to study the topological and geometric properties of the ambient spaces which admit some minimal submanifolds.
Keywords:curvature  immersion  Riemannian manifold
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