On the Inner Curvature of the Second Fundamental Form of a Surface in the Hyperbolic Space
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🧮 math.DG
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formfundamentalsecondcurvaturehyperbolicspacearticlecompact
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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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