Polygons with prescribed edge slopes: configuration space and extremal points of perimeter

DOI10.1007/s13366-018-0409-3zbMath1409.58005arXiv1712.00299OpenAlexW2962757657MaRDI QIDQ1728762

Yana Teplitskaya, Gaiane Yu. Panina, Joseph Frank Gordon

Publication date: 26 February 2019

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00299

zbMATH Keywords

critical pointMorse indexcyclic polygonflexible polygon

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (2)

Extremal areas of polygons with fixed perimeter ⋮ Oriented area as a Morse function on polygon spaces

Cites Work

• On the area of a polygonal linkage
• Morse index of a cyclic polygon
• Invitation to topological robotics
• Cyclic polygons are critical points of area
• Morse index of a cyclic polygon. II
• On the moduli space of polygons in the Euclidean plane

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