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
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
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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Turkish CoHE Thesis Center URL
Citation
0
WoS Q
N/A
Scopus Q
Q3
Source
Volume
65
Issue
4
Start Page
643
End Page
648