On the area of a polygonal linkage (Q416955)
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scientific article; zbMATH DE number 6032819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the area of a polygonal linkage |
scientific article; zbMATH DE number 6032819 |
Statements
On the area of a polygonal linkage (English)
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10 May 2012
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The main purpose of the paper under review is to study the critical points of oriented area regarded as a function on the moduli space of a polygonal linkage. In all cases, the corresponding nongenericity conditions determine some closed sets with empty interior in the parameter space \({\mathbb R}^n_+\). Connections with the electrostatic potential of the system of unit charges located at the vertices of the linkage are also provided in the present paper.
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Morse theory
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critical point
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polygonal linkage
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