Yue Gao

activity

20182021

most citedSystoles of hyperbolic surfaces with big cyclic symmetry

1 citations · 3 across the 5 of their papers we have counts for

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math.GT2021

Shape of filling-systole subspace in surface moduli space and critical points of systole function

Yue Gao

This paper studies the space $X_{g} \subset M_{g}$ consisting of surfaces with filling systoles and its subset, critical points of the systole function. In the first part, we…

math.GT2021

An upperbound for the number of critical points of the systole function on the surface moduli space

Yue Gao

We obtain an upper bound for the number of critical points of the systole function on $M_{g}$ . Besides, we obtain an upper bound for the number of those critical points who…

math.GT2019★ 1 cited

Maximal systole of hyperbolic surface with largest $S^{3}$ extendable abelian symmetry

Yue Gao, Jiajun Wang

We give the formula for the maximal systole of the surface admits the largest $S^{3}$ -extendable abelian group symmetry. The result we get is $2 arccosh K$ . Here \begin{eqnar…

math.GT2018★ 1 cited

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 $g$ with cyclic symmetries of the maximum order and the next maximum order. Precisely: for genus $g…

Shape of filling-systole subspace in surface moduli space and critical points of systole function

An upperbound for the number of critical points of the systole function on the surface moduli space

Maximal systole of hyperbolic surface with largest S3 extendable abelian symmetry

Systoles of hyperbolic surfaces with big cyclic symmetry

Maximal systole of hyperbolic surface with largest $S^{3}$ extendable abelian symmetry