Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms
Toshiaki Adachi, Makoto Kimura, and Sadahiro Maeda
Source: Tohoku Math. J. (2) Volume 57, Number 2
(2005), 223-230.
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.
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Keywords: Real hypersurfaces; nonflat complex space forms; geodesics; plane curves; curves of order 2; totally $\eta$-umbilic; ruled real hypersurfaces
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tmj/1119888336
Mathematical Reviews number (MathSciNet): MR2137467
Digital Object Identifier: doi:10.2748/tmj/1119888336
Zentralblatt MATH identifier: 1089.53021
References
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Mathematical Reviews (MathSciNet): MR1467219
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Mathematical Reviews (MathSciNet): MR1883524
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Zentralblatt MATH: 0904.53005
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