A characterization of totally umbilical hypersurfaces of a space form by geodesic mapping

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Date

2013

Authors

Canfes, Elif Ozkara
Özdeğer, Abdülkadir

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Springer

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Abstract

The idea of considering the second fundamental form of a hypersurface as the first fundamental form of another hypersurface has found very useful applications in Riemannian and semi-Riemannian geometry especially when trying to characterize extrinsic hyperspheres and ovaloids. Recently T. Adachi and S. Maeda gave a characterization of totally umbilical hypersurfaces in a space form by circles. In our paper we give a characterization of totally umbilical hypersurfaces of a space form by means of geodesic mapping.

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0

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N/A

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Q3

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Volume

65

Issue

4

Start Page

643

End Page

648