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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 280, Pages 251–271 (Mi znsl1484)  
This article is cited in 6 scientific papers (total in 6 papers)

Curvature extrema and four-vertex-theorems for polygons and polyhedra

O. R. Musin

M. V. Lomonosov Moscow State University
Full-text PDF (244 kB) Citations (6)
Abstract: Discrete analogs of curvature etrema and generalizations of the four-vertex theorem to the case of polygons and polyhedra are suggested and developed. Several interrelated approaches are considered. One of the main results says that a regular triangulation of a $d$-ball containing $\ge d$ simplices has at least $d$ “ears”.
Received: 28.12.2000
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 2, Pages 268–277
DOI: https://doi.org/10.1023/B:JOTH.0000008769.58818.6d
Bibliographic databases:
UDC: 514.7
Language: Russian
Citation: O. R. Musin, “Curvature extrema and four-vertex-theorems for polygons and polyhedra”, Geometry and topology. Part 7, Zap. Nauchn. Sem. POMI, 280, POMI, St. Petersburg, 2001, 251–271; J. Math. Sci. (N. Y.), 119:2 (2004), 268–277
Citation in format AMSBIB
\Bibitem{Mus01}
\by O.~R.~Musin
\paper Curvature extrema and four-vertex-theorems for polygons and polyhedra
\inbook Geometry and topology. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 280
\pages 251--271
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1484}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879271}
\zmath{https://zbmath.org/?q=an:1077.51505}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 2
\pages 268--277
\crossref{https://doi.org/10.1023/B:JOTH.0000008769.58818.6d}
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  • https://www.mathnet.ru/eng/znsl/v280/p251
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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