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http://dx.doi.org/10.4134/CKMS.2013.28.4.799

AN ELEMENTARY PROOF OF SFORZA-SANTALÓ RELATION FOR SPHERICAL AND HYPERBOLIC POLYHEDRA  

Cho, Yunhi (Department of Mathematics University of Seoul)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.4, 2013 , pp. 799-807 More about this Journal
Abstract
We defined and studied a naturally extended hyperbolic space (see [1] and [2]). In this study, we describe Sforza's formula [7] and Santal$\acute{o}$'s formula [6], which were rediscovered and later discussed by many mathematicians (Milnor [4], Su$\acute{a}$rez-Peir$\acute{o}$ [8], J. Murakami and Ushijima [5], and Mednykh [3]) in the spherical space in an elementary way. Thereafter, using the extended hyperbolic space, we apply the same method to prove their results in the hyperbolic space.
Keywords
hyperbolic space; spherical space; polyhedron; volume;
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Times Cited By KSCI : 1  (Citation Analysis)
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