| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606191 | Differential Geometry and its Applications | 2011 | 17 Pages |
Abstract
We obtain criteria for the harmonicity of the Gauss map of submanifolds in the Heisenberg group and consider the examples demonstrating the connection between the harmonicity of this map and the properties of the mean curvature field. Also, we introduce a natural class of cylindrical submanifolds and prove that a constant mean curvature hypersurface with harmonic Gauss map is cylindrical.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
E.V. Petrov,