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This article is cited in 5 scientific papers (total in 5 papers)
Research Papers
Combinatorial identities for polyhedral cones
R. Schneider Mathematisches Institut, Albert-Ludwigs-Universität, D-79104 Freiburg i. Br., Germany
Abstract:
Some known relations for convex polyhedral cones, involving angles or conical intrinsic volumes, are superficially of a metric character, but have indeed a purely combinatorial core. This fact is strengthened in some cases, with implications for valuations on polyhedral cones, and is worked out in the case of the extended Klivans–Swartz formula.
Keywords:
polyhedral cone, angle sum relation, characteristic function, valuation, conical intrinsic volume, spherical Gauss–Bonnet relation, Klivans–Swartz formula.
Received: 05.09.2016
Citation:
R. Schneider, “Combinatorial identities for polyhedral cones”, Algebra i Analiz, 29:1 (2017), 279–295; St. Petersburg Math. J., 29:1 (2018), 209–221
Linking options:
https://www.mathnet.ru/eng/aa1530 https://www.mathnet.ru/eng/aa/v29/i1/p279
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