Citation
Hl. Liu et Gl. Liu, Hyperbolic rotation surfaces of constant mean curvature in 3-de sitter space, B BELG MATH, 7(3), 2000, pp. 455-466
Citations number
21
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
ISSN journal
13701444
→ ACNP
Volume
7
Issue
3
Year of publication
2000
Pages
455 - 466
Database
ISI
SICI code
1370-1444(200007/09)7:3<455:HRSOCM>2.0.ZU;2-J
Abstract
In the 4-dimensional Minkowski space R-1(4), a surface is said to be a hype
rbolic rotation surface, if it is a orbit of a regular curve under the acti
on of the orthogonal transformations of R-1(4) which leave a spacelike plan
e pointwise fixed. In this paper, we give the totally classification of the
timelike and spacelike hyperbolic rotation surfaces in 3-dimensional de Si
tter space S-1(3).