Article ID Journal Published Year Pages File Type
4606587 Differential Geometry and its Applications 2010 8 Pages PDF
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
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