Tohoku Mathematical Journal

Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms

Toshiaki Adachi, Makoto Kimura, and Sadahiro Maeda

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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.

Article information

Tohoku Math. J. (2) Volume 57, Number 2 (2005), 223-230.

First available in Project Euclid: 27 June 2005

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53B25: Local submanifolds [See also 53C40]
Secondary: 53C40: Global submanifolds [See also 53B25]

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


Adachi, Toshiaki; Kimura, Makoto; Maeda, Sadahiro. Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms. Tohoku Math. J. (2) 57 (2005), no. 2, 223--230. doi:10.2748/tmj/1119888336.

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