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

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

2009-03-10

arxiv.org/abs/0903.1735v1

Mathematics

Differential Geometry

7 pages

Scientific paper

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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