| Автор | Cheng, Qing-Ming |
| Дата выпуска | 2000 |
| dc.description | In this paper, we prove that if M^2 is a complete maximal spacelike surface of an anti-de Sitter space {\bf H}^{4}_{2}(c) with constant scalar curvature, then S=0, S={-10c\over 11}, S={-4c\over 3} or S=-2c, where S is the squared norm of the second fundamental form of M^{2}. Also(1) S=0 if and only if M^2 is the totally geodesic surface {\bf H}^2(c);(2) S={-4c\over 3} if and only if M^2 is the hyperbolic Veronese surface;(3) S=-2c if and only if M^2 is the hyperbolic cylinder of the totally geodesicsurface {\bf H}^{3}_{1}(c) of {\bf H}^{4}_{2}(c).1991 Mathematics Subject Classifaction 53C40, 53C42. |
| Издатель | Cambridge University Press |
| Название | Complete maximal spacelike surfaces in an anti-de Sitter space {\bf H}^{4}_{2}(c)Research partially supported by a Grant-in-Aid for Scientific Research from the Japanese Ministry of Education, Science and Culture and by a Grant-in-Aid for Scientific Research from Josai University. |
| Electronic ISSN | 1469-509X |
| Print ISSN | 0017-0895 |
| Журнал | Glasgow Mathematical Journal |
| Том | 42 |
| Первая страница | 139 |
| Последняя страница | 156 |
| Аффилиация | Cheng Qing-Ming; Josai University |
| Выпуск | 1 |
