6 citations · 12 across the 6 of their papers we have counts for
Showing math.GTShow all
2 papers · 1 filter
math.GT2020
Area-perimeter duality in polygon spaces
Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma
Two natural foliations, guided by area and perimeter, of the configurations spaces of planar polygons are considered and the topology of their leaves is investigated in some detail…
math.GT2018
Extremal areas of polygons with fixed perimeter
Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma
We consider the configuration space of planar -gons with fixed perimeter, which is diffeomorphic to the complex projective space . The oriented area function…