| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606165 | Differential Geometry and its Applications | 2013 | 8 Pages |
Abstract
We describe extrinsic hyperspheres and totally geodesic hypersurfaces in manifolds with special holonomy. In particular we prove the nonexistence of extrinsic hyperspheres in quaternion-Kähler manifolds. We develop a new approach to extrinsic hyperspheres based on the classification of special Killing forms.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tillmann Jentsch, Andrei Moroianu, Uwe Semmelmann,