In this paper, we give a complete classification of all immersed hypersurfaces in the unit sphere with parallel Blaschke tensors. For this classification, two kinds of new examples are constructed.
Publié le : 2006-12-14
Classification:
Möbius form,
parallel Blaschke tensor,
Möbius metric,
second Möbius fundamental form,
constant scalar curvature,
53A30,
53B25
@article{1170347691,
author = {Li, Xingxiao and Zhang, Fengyun},
title = {A classification of immersed hypersurfaces in spheres with parallel Blaschke tensor},
journal = {Tohoku Math. J. (2)},
volume = {58},
number = {1},
year = {2006},
pages = { 581-597},
language = {en},
url = {http://dml.mathdoc.fr/item/1170347691}
}
Li, Xingxiao; Zhang, Fengyun. A classification of immersed hypersurfaces in spheres with parallel Blaschke tensor. Tohoku Math. J. (2), Tome 58 (2006) no. 1, pp. 581-597. http://gdmltest.u-ga.fr/item/1170347691/