Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
REAL HYPERSURFACES SOME OF WHOSE GEODESICS ARE PLANE CURVES IN NONFLAT COMPLEX SPACE FORMS
TOSHIAKI ADACHI, MAKOTO KIMURA, SADAHIRO MAEDA
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Keywords: Real hypersurfaces, nonflat complex space forms, geodesics, plane curves, curves of order 2, totally $\\eta$-umbilic, ruled real hypersurfaces
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2005 Volume 57 Issue 2 Pages 223-230

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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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© 2005 by THE TOHOKU UNIVERSITY
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Tohoku Mathematical Journal, First Series

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