The Configuration Space of Regular Spherical Even Polygons

Yasuhiko Kamiyama

International Journal of Mathematics and Mathematical Sciences, 2019, vol. 2019, 1-6

Abstract:

Let a be a real number satisfying . We denote by the configuration space of regular spherical n -gons with side lengths a . In our previous paper, we determined for odd n . In this paper, we determine it for even n . The main difference from our previous paper is given as follows. When n is odd, we prove that is obtained from by successive Morse surgeries. On the other hand, when n is even, we show that is obtained from by successive Morse surgeries. Here, denotes the configuration space of equilateral n -gons in , which has singular points when n is even.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:7148538

DOI: 10.1155/2019/7148538

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