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Convex polyhedra in hyperbolic space and interpolation of functions - MaRDI portal

Convex polyhedra in hyperbolic space and interpolation of functions (Q416887)

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scientific article; zbMATH DE number 6032773
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Convex polyhedra in hyperbolic space and interpolation of functions
scientific article; zbMATH DE number 6032773

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    Convex polyhedra in hyperbolic space and interpolation of functions (English)
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    10 May 2012
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    The authors study conformally flat metrics and numerical functions of class \(C^{1,1}\) associated with them, which are conformal spline-functions whose graphs are glued from pieces of paraboloids. They prove a monotonicity theorem for conformally flat metrics of bounded one-dimensional curvature and an interpolation theorem for polyhedral conformally flat metrics.
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    conformal flat metrics
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    convex set
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    polyhedra
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    numerical functions
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    spline-functions
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    interpolation
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