Chao Wang

activity

20122024

most citedExtending finite group actions on surfaces over

S^{3}

6 citations · 17 across the 13 of their papers we have counts for

collaborators

13 papers

math.GT2024

Embedding periodic maps of surfaces into those of spheres with minimal dimensions

Chao Wang, Shicheng Wang, Zhongzi Wang

It is known that any periodic map of order $n$ on a closed oriented surface of genus $g$ can be equivariantly embedded into $S^{m}$ for some $m$ . In the orientable and smooth categor…

math.GT2021★ 2 cited

Extendable periodic automorphisms of closed surfaces over the 3-sphere

Chao Wang, Weibiao Wang

A periodic automorphism of a surface $Σ$ is said to be extendable over $S^{3}$ if it extends to a periodic automorphism of the pair $(S^{3}, Σ)$ for some possible embedding $Σ \to S^{3}$ .…

math.GT2020★ 2 cited

Extending periodic automorphisms of surfaces to 3-manifolds

Yi Ni, Chao Wang, Shicheng Wang

Let $G$ be a finite group acting on a connected compact surface $Σ$ , and $M$ be an integer homology 3-sphere. We show that if each element of $G$ is extendable over $M$ with respec…

math.GT2018

A classification of maximally symmetric surfaces in the 3-dimensional torus

Chao Wang, Bruno Zimmermann

If a finite group of orientation-preserving diffeomorphisms of the 3-dimensional torus leaves invariant an oriented, closed, embedded surface of genus g>1 and preserves the orienta…

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…

math.GT2017

Bordered surfaces in the 3-sphere with maximum symmetry

Chao Wang, Shicheng Wang, Yimu Zhang +1

We consider orientation-preserving actions of finite groups $G$ on pairs $(S^{3}, Σ)$ , where $Σ$ denotes a compact connected surface embedded in $S^{3}$ . In a previous paper, we consid…