Showing 2018Show all
2 papers · 1 filter
math.GT2018
Systoles of hyperbolic surfaces with big cyclic symmetry
Sheng Bai, Yue Gao, Shicheng Wang
We obtain the exact values of the systoles of these hyperbolic surfaces of genus with cyclic symmetries of the maximum order and the next maximum order. Precisely: for genus $g…
math.GT2018
Minimal surfaces in the three dimensional sphere with high symmetry
Sheng Bai, Chao Wang, Shicheng Wang
Using the Lawson's existence theorem of minimal surfaces and the symmetries of the Hopf fibration, we will construct symmetric embedded closed minimal surfaces in the three dimensi…