Morse index of a cyclic polygon. II

DOI10.1090/S1061-0022-2013-01247-7zbMath1326.52013OpenAlexW1984106705MaRDI QIDQ2849089

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Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2013-01247-7

zbMATH Keywords

Morse theorymoduli spacelinkages

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Polytopes and polyhedra (52B99) Linkage (14M06) Symplectic structures of moduli spaces (53D30)

Related Items (5)

Area, perimeter and cocyclical polygons ⋮ Extremal areas of polygons with fixed perimeter ⋮ On the area of constrained polygonal linkages ⋮ Polygons with prescribed edge slopes: configuration space and extremal points of perimeter ⋮ Oriented area is a perfect Morse function

Cites Work

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• Morse index of a cyclic polygon
• Configuration spaces and signature formulas
• Cyclic polygons are critical points of area
• On the geometry of the planar 4-bar mechanism
• Configuration spaces of hinge constructions
• Areas of polygons inscribed in a circle
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• On configuration spaces of planar pentagons
• Homology of planar polygon spaces

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