TY - JOUR
TI - The Configuration Space of Regular Spherical Even Polygons
VL - 2019
PY - 2019
DA - 2019/11/14
DO - 10.1155/2019/7148538
UR - https://doi.org/10.1155/2019/7148538
AB - 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.
JF - International Journal of Mathematics and Mathematical Sciences
SN - 0161-1712
PB - Hindawi
SP - 7148538
KW -
A2 - Mityushev, Vladimir V.
AU - Kamiyama, Yasuhiko
ER -