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Consider a mechanical linkages whose underlying graph is a polygon with a diagonal constraint, or more general, a partial two-tree. We show that (with an appropriate definition) the oriented area is a Bott–Morse function on the configuration space of the linkage. Its critical points are described and Bott–Morse indices are computed. This paper is a generalization of analogous results for polygonal linkages (obtained earlier by G. Khimshiashvili, G. Panina, and A. Zhukova).
Translated title of the contribution | О площади многоугольника с набором ограничений |
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Original language | English |
Pages (from-to) | 32-44 |
Number of pages | 13 |
Journal | Topology and its Applications |
Volume | 238 |
Early online date | Feb 2018 |
DOIs | |
State | Published - 1 Apr 2018 |
ID: 14085948