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CHARACTERIZATIONS OF BERGER SPHERES FROM THE VIEWPOINT OF SUBMANIFOLD THEORY

Part of: Global differential geometry Local differential geometry

Published online by Cambridge University Press:  01 March 2019

BYUNG HAK KIM ,
IN-BAE KIM  and
SADAHIRO MAEDA
BYUNG HAK KIM*
Affiliation:
Department of Applied Mathematics and Institute of National Sciences, Kyung Hee University, Yong In 446-701, Korea e-mail: bhkim@khu.ac.kr
IN-BAE KIM
Affiliation:
Department of Mathematics, Hankuk University of Foreign Studies, Seoul 130-791, Korea e-mail: ibkim@hufs.ac.kr
SADAHIRO MAEDA
Affiliation:
Department of Mathematics, Saga University, Saga 840-8502, Japan e-mail: sayaki@cc.saga-u.ac.jp
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Abstract

In this paper, Berger spheres are regarded as geodesic spheres with sufficiently big radii in a complex projective space. We characterize such real hypersurfaces by investigating their geodesics and contact structures from the viewpoint of submanifold theory.

MSC classification

Primary: 53B25: Local submanifolds
Secondary: 53C40: Global submanifolds
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Issue 1 , January 2020 , pp. 137 - 145
Copyright
Copyright © Glasgow Mathematical Journal Trust 2019 

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