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Curvature Conditions for Immersions of Submanifolds and Applications

Published online by Cambridge University Press:  04 December 2007

Sérgio Mendonça  and
Detang Zhou
Sérgio Mendonça
Affiliation:
Departamento de Análise, Universidade Federal Fluminense, Niterói, Brazil. e-mail: mendonca@mat.uff.br
Detang Zhou
Affiliation:
Departamento de Geometria, Universidade Federal Fluminense, Niterói, Brazil. e-mail: zhou@mat.uff.br
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Abstract

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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

curvatureimmersionRiemannian manifold
Type
Research Article
Information
Compositio Mathematica , Volume 137 , Issue 2 , June 2003 , pp. 211 - 226
Copyright
© 2003 Kluwer Academic Publishers