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.
Publié le : 2005-06-14
Classification:
Real hypersurfaces,
nonflat complex space forms,
geodesics,
plane curves,
curves of order 2,
totally $\eta$-umbilic,
ruled real hypersurfaces,
53B25,
53C40
@article{1119888336,
author = {Adachi, Toshiaki and Kimura, Makoto and Maeda, Sadahiro},
title = {Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms},
journal = {Tohoku Math. J. (2)},
volume = {57},
number = {1},
year = {2005},
pages = { 223-230},
language = {en},
url = {http://dml.mathdoc.fr/item/1119888336}
}
Adachi, Toshiaki; Kimura, Makoto; Maeda, Sadahiro. Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp. 223-230. http://gdmltest.u-ga.fr/item/1119888336/