Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space
نویسندگان
چکیده
منابع مشابه
Discrete 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...
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A surface in hyperbolic space H 3 invariant by a group of parabolic isometries is called a parabolic surface. In this paper we investigate parabolic surfaces of H 3 that satisfy a linear Weingarten relation of the form aκ1 + bκ2 = c or aH + bK = c, where a, b, c ∈ R and, as usual, κi are the principal curvatures, H is the mean curvature and K is de Gaussian curvature. We classify all parabolic ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2012
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2012-05698-4