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Algebra i Analiz, 2017, Volume 29, Issue 1, Pages 279–295 (Mi aa1530)  

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
Full-text PDF (227 kB) Citations (5)
References:
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
English version:
St. Petersburg Mathematical Journal, 2018, Volume 29, Issue 1, Pages 209–221
DOI: https://doi.org/10.1090/spmj/1489
Bibliographic databases:
Document Type: Article
Language: English
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
Citation in format AMSBIB
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:371
    Full-text PDF :48
    References:30
    First page:10
     
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