Aleksandrov still not found

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3 Aleksandrov Surfaces and Hyperbolicity

Aleksandrov surfaces are a generalization of two-dimensional Rie-mannian manifolds, and it is known that every open simply connected Alek-sandrov surface is conformally equivalent either to the unit disc (hyperbolic case) or to the plane (parabolic case). We prove a criterion for hyperbolicity of Aleksandrov surfaces which have nice tilings and where negative curvature dominates. We then apply ...

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ژورنال

عنوان ژورنال: Nature

سال: 1985

ISSN: 0028-0836,1476-4687

DOI: 10.1038/316479b0