scientific article; zbMATH DE number 7141569

zbMath1430.52004MaRDI QIDQ5204080

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

Publication date: 9 December 2019

Full work available at URL: http://science.org.ge/bnas/t12-n4/03_Khimshiashvili.pdf

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zbMATH Keywords

configuration spacecritical pointMorse indexwinding numberCoulomb energycyclic polygonoriented areastar-shaped regular planar polygon

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Convex sets in (2) dimensions (including convex curves) (52A10) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (1)

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Cites Work

• Cyclic polygons are critical points of area
• An isoperimetric problem for point interactions
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
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