Curvature Conditions for Immersions of Submanifolds and Applications |
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Authors: | Sérgio Mendonça Detang Zhou |
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Affiliation: | (1) Departamento de Análise, Universidade Federal Fluminense, Niterói, Brazil |
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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. |
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Keywords: | curvature immersion Riemannian manifold |
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