In a complex projective space, we distinguish hypersurfaces of type $({\rm A}_1)$ from hypersurfaces of type $({\rm A}_2)$ in terms of the cardinality of congruence classes of their extrinsic geodesics.
Publié le : 2008-05-15
Classification:
Hypersurfaces of type (A),
geodesic spheres,
hypersurfaces of type $({\rm A}_2)$,
ruled real hypersurfaces,
complex projective spaces,
normal section,
integral curves of the characteristic vector field,
geodesics,
extrinsic geodesics,
structure torsion,
normal curvature,
53B25,
53C40
@article{1232376168,
author = {Maeda, Sadahiro and Adachi, Toshiaki},
title = {Extrinsic geodesics and hypersurfaces of type (A) in a complex projective space},
journal = {Tohoku Math. J. (2)},
volume = {60},
number = {1},
year = {2008},
pages = { 597-605},
language = {en},
url = {http://dml.mathdoc.fr/item/1232376168}
}
Maeda, Sadahiro; Adachi, Toshiaki. Extrinsic geodesics and hypersurfaces of type (A) in a complex projective space. Tohoku Math. J. (2), Tome 60 (2008) no. 1, pp. 597-605. http://gdmltest.u-ga.fr/item/1232376168/