Isometry-Invariant Valuations on Hyperbolic Space
نویسندگان
چکیده
منابع مشابه
Isometry-Invariant Valuations on Hyperbolic Space
Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H. We then show that continuous isometry invariant simple valuations on polytopes in H for n ≥ 1 are determined uniquely by their values at ideal simplices. The proofs exploit a connection between valuation theory in hyperbolic space and an analogous theory on the Euclidean sphere...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2006
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-006-1251-6