| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606754 | Differential Geometry and its Applications | 2007 | 6 Pages |
Abstract
By means of a simple warped product construction we obtain examples of submanifolds with nonpositive extrinsic curvature and minimal index of relative nullity in any space form. We then use this to extend to arbitrary space forms four known splitting results for Euclidean submanifolds with nonpositive sectional curvature.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Luis A. Florit,