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

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Bibliographic Details
Date:2013
Main Authors: Canfes, E.Ö., Özdeğer, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Український математичний журнал
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/165331
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A characterization of totally umbilical hypersurfaces of a space form by geodesic mapping / E.Ö. Canfes, A. Özdeğer // Український математичний журнал. — 2013. — Т. 65, № 4. — С. 583-587. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine