|
|||||
|
|
On locally convex hypersurfaces in Hadamard manifolds |
|
| Authors: | A A Borisenko |
| Institution: | (1) Kharkov State University, USSR |
| Abstract: | Locally convex compact hypersurfaces immersed in a hollow simply connected Riemannian space of nonpositive sectional curvature are considered. They are proved to be convex hypersurfaces homeomorphic to the sphere. A similar result for immersed hypersurfaces with nonpositive definite second quadratic form of rank no smaller than one is obtained. Translated fromMatematicheskie Zametki, Vol. 67, No. 4, pp. 498–507, April, 2000. |
| Keywords: | Hadamard manifold compact connected manifold convex hypersurface locally convex immersion immersion regular of classC 2 second quadratic form |
| 本文献已被 SpringerLink 等数据库收录！ | |