Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606587 | Differential Geometry and its Applications | 2010 | 8 Pages |
Abstract
We give necessary and sufficient conditions on a smooth local map of a Riemannian manifold MmMm into the sphere SmSm to be the Gauß map of an isometric immersion u:Mm→Rn, n=m+1n=m+1. We briefly discuss the case of general n as well.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jost-Hinrich Eschenburg, B.S. Kruglikov, Vladimir S. Matveev, Renato Tribuzy,