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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 280, Pages 251–271
(Mi znsl1484)
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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
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
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
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https://www.mathnet.ru/eng/znsl1484 https://www.mathnet.ru/eng/znsl/v280/p251
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Abstract page: | 448 | Full-text PDF : | 360 |
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