Extremal Areas of Polygons with Fixed Perimeter

被引：0
|
作者：
Khimshiashvili G. [1 ]
Panina G. [2 ]
Siersma D. [3 ]
机构：
[1] Ilia State University, Tbilisi
[2] St.Petersburg Department of Steklov Institute of Mathematics and St.Petersburg State University, St.Petersburg
[3] Utrecht University, Utrecht
来源：
Journal of Mathematical Sciences | 2020年 / 247卷 / 5期
关键词：
D O I：
10.1007/s10958-020-04835-9
中图分类号：
学科分类号：
摘要：
We consider the configuration space of planar n-gons with fixed perimeter, which is diffeomorphic to the complex projective space ℂPn−2. The oriented area function has the minimum number of critical points on the configuration space. We describe its critical points (these are regular stars) and compute their indices when they are Morse. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：731 / 737
页数：6
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