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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Mendonça, S., Zhou, D. Curvature Conditions for Immersions of Submanifolds and Applications. Compositio Mathematica 137, 211–226 (2003). https://doi.org/10.1023/A:1023932008595
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DOI: https://doi.org/10.1023/A:1023932008595