| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606507 | Differential Geometry and its Applications | 2010 | 4 Pages |
Abstract
A submanifold M⊂RnM⊂Rn lies in the sphere Sn−1Sn−1 iff it carries a parallel umbilic normal vector field. We extend this theorem by replacing the sphere Sn−1Sn−1 by an arbitrary extrinsic symmetric space S⊂RnS⊂Rn.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
J. Eschenburg, R. Tribuzy,