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arXiv · 0903.1735

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

Francisco Torralbo·Francisco Urbano
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Abstract

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.

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Francisco Torralbo, Francisco Urbano. 2009-03-10. On the Gauss curvature of compact surfaces in homogeneous 3-manifolds. https://arxiv.org/abs/0903.1735

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