منابع مشابه
Flat surfaces in the hyperbolic 3-space
In this paper we give a conformal representation of flat surfaces in the hyperbolic 3space using the complex structure induced by its second fundamental form. We also study some examples and the behaviour at infinity of complete flat ends. Mathematics Subject Classification (1991): 53A35, 53C42
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متن کاملComplete Flat Surfaces with two Isolated Singularities in Hyperbolic 3 - space 1
We construct examples of flat surfaces in H3 which are graphs over a twopunctured horosphere and classify complete embedded flat surfaces in H3 with only one end and at most two isolated singularities. 2000 Mathematical Subject Classification: 53A35, 53C42
متن کاملDiscrete Flat Surfaces and Linear Weingarten Surfaces in Hyperbolic 3-space
We define discrete flat surfaces in hyperbolic 3-space H from the perspective of discrete integrable systems and prove properties that justify the definition. We show how these surfaces correspond to previously defined discrete constant mean curvature 1 surfaces in H, and we also describe discrete focal surfaces (discrete caustics) that can be used to define singularities on discrete flat surfa...
متن کاملHorocyclic Surfaces in Hyperbolic 3-space
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2004
ISSN: 0030-8730
DOI: 10.2140/pjm.2004.216.149