On the Gauss curvature of compact surfaces in homogeneous 3-manifolds

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Compact flat surfaces of homogeneous Riemannian 3-manifolds with isometry group of dimension 4 are classified. Non-existence results for compact constant Gauss curvature surfaces in these 3-manifolds are established.
7 pages

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Differential Geometry, 53C42, 53C30

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http://salesiana.dossiersoluciones.com/handle/123456789/222813

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.1735
 http://arxiv.org/abs/0903.1735

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arXiv