On the Inner Curvature of the Second Fundamental Form of a Surface in the Hyperbolic Space

Details On the Inner Curvature of the Second Fundamental Form of a Surface in the Hyperbolic Space On the Inner Curvature of the Second Fundamental Form of a Surface in the Hyperbolic Space

2008-04-02

arxiv.org/abs/0804.0271v1

Revue Roumaine de Math'ematiques Pures et Appliqu'ees 54 (2009) 2, 171--180. Published version available here: http://www.cs

Mathematics

Differential Geometry

13 pages

Scientific paper

The object of study of this article is compact surfaces in the
three-dimensional hyperbolic space with a positive-definite second fundamental
form. It is shown that several conditions on the Gaussian curvature of the
second fundamental form can be satisfied only by extrinsic spheres.

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