Cyclic configurations of spherical polygons

DOI10.1134/S1064562413030083zbMath1284.52005MaRDI QIDQ378167

G. K. Giorgadze, G. N. Khimshiashvili

Publication date: 11 November 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical pointMorse indexmoduli spacecyclic configuration of a linkagespherical polygon

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Moduli problems for topological structures (58D29) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Convex sets in (3) dimensions (including convex surfaces) (52A15) Critical points and critical submanifolds in differential topology (57R70) Configuration theorems in linear incidence geometry (51A20)

Related Items (2)

Nondegeneracy of certain constrained extrema ⋮ On equilibrium concyclic configurations

Cites Work

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• On the area of a polygonal linkage
• Morse index of a cyclic polygon
• Areas of polygons inscribed in a circle
• On the Moduli Space of a Spherical Polygonal Linkage

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