Compatibility of Gauß maps with metrics
| Autor: | Boris Kruglikov, Vladimir S. Matveev, Jost-Hinrich Eschenburg, Renato Tribuzy |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics 53A05 53A07 53A10 49Q05 53N10 Riemannian manifold Mathematics - Analysis of PDEs Computational Theory and Mathematics Differential Geometry (math.DG) Compatibility (mechanics) Immersion (mathematics) Local map FOS: Mathematics Geometry and Topology Mathematics::Differential Geometry Analysis Mathematics Analysis of PDEs (math.AP) |
| Popis: | We give necessary and sufficient conditions on a smooth local map of a Riemannian manifold $M^m$ into the sphere $S^m$ to be the Gauss map of an isometric immersion $u:M^m \to R^n$, $n=m+1$. We briefly discuss the case of general $n$ as well Comment: 14 pages, no figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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