Open Access
2005 Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms
Toshiaki Adachi, Makoto Kimura, Sadahiro Maeda
Tohoku Math. J. (2) 57(2): 223-230 (2005). DOI: 10.2748/tmj/1119888336

Abstract

In this paper we classify real hypersurfaces all of whose geodesics orthogonal to the characteristic vector field are plane curves in complex projective or complex hyperbolic spaces.

Citation

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Toshiaki Adachi. Makoto Kimura. Sadahiro Maeda. "Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms." Tohoku Math. J. (2) 57 (2) 223 - 230, 2005. https://doi.org/10.2748/tmj/1119888336

Information

Published: 2005
First available in Project Euclid: 27 June 2005

zbMATH: 1089.53021
MathSciNet: MR2137467
Digital Object Identifier: 10.2748/tmj/1119888336

Subjects:
Primary: 53B25
Secondary: 53C40

Keywords: curves of order 2 , geodesics , nonflat complex space forms , plane curves , Real hypersurfaces , ruled real hypersurfaces , totally $\eta$-umbilic

Rights: Copyright © 2005 Tohoku University

Vol.57 • No. 2 • 2005
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