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- W2998940369 abstract "Assume one has a necklace, that is, a closed string with a number of beads on it. Some of the beads are fixed, some can slide along the string. For a planar configuration of a necklace, the oriented area is well-defined. We characterise critical points of the oriented area function in geometric terms and give a formula for the Morse indices. Thus we obtain a generalisation of Jacob Steiner's isoperimetric theorems for polygons in the plane." @default.
- W2998940369 created "2020-01-23" @default.
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- W2998940369 date "2020-01-08" @default.
- W2998940369 modified "2023-09-27" @default.
- W2998940369 title "Oriented Area as a Morse Function on Configuration Spaces of Necklaces" @default.
- W2998940369 hasPublicationYear "2020" @default.
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