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

• Published in: Український математичний журнал
• Date: 2013
• Main Authors: Canfes, E.Ö., Özdeğer, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165331
• 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.

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...