Extremal areas of polygons with fixed perimeter

DOI10.1007/s10958-020-04835-9zbMath1453.51007arXiv1805.07521OpenAlexW3022419255MaRDI QIDQ2202705

Dirk Siersma, Gaiane Yu. Panina, G. N. Khimshiashvili

Publication date: 29 September 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07521

zbMATH Keywords

Morse theoryisoperimetric problem

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Length, area and volume in real or complex geometry (51M25)

Related Items (1)

Oriented area as a Morse function on polygon spaces

Cites Work

• Unnamed Item
• Morse index of a cyclic polygon
• Cyclic polygons are critical points of area
• Polygons with prescribed edge slopes: configuration space and extremal points of perimeter
• On Morse theory for piecewise smooth functions
• Morse index of a cyclic polygon. II
• Generalized Gradients and Applications
• The Isoperimetric Problem
• On the moduli space of polygons in the Euclidean plane

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