In this paper we completely classify parallel non-degenerate surfaces in
4-dimensional Lorentzian space forms. In addition, we also completely classify
non-degenerate surfaces with parallel mean curvature vector in 4-dimensional
Lorentzian space forms.
Publié le : 2009-05-15
Classification:
Lorentzian space form,
parallel second fundamental form,
surface with parallel mean curvature vector,
parallel surface,
53B25,
53C50,
83C15
@article{1238764545,
author = {Chen, Bang-Yen and Van der Veken, Joeri},
title = {Complete classification of parallel surfaces in 4-dimensional Lorentzian space
forms},
journal = {Tohoku Math. J. (2)},
volume = {61},
number = {1},
year = {2009},
pages = { 1-40},
language = {en},
url = {http://dml.mathdoc.fr/item/1238764545}
}
Chen, Bang-Yen; Van der Veken, Joeri. Complete classification of parallel surfaces in 4-dimensional Lorentzian space
forms. Tohoku Math. J. (2), Tome 61 (2009) no. 1, pp. 1-40. http://gdmltest.u-ga.fr/item/1238764545/