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

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, specially when trying to characterize extrinsic hyperspheres and ovaloids. Recently, T. Adachi...

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Bibliographic Details
Date:	2013
Main Authors:	Canfes, E. Ö., Özdeğer, A., Канфес, Е. О., Оздер, А.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2013
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2441
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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