3 papers
math.DG2025
The chiral gyrating H'-T surface family: construction from the dual qtz--qzd nets and existence proof using a toroidal Weierstrass method
Hao Chen, Shashank G. Markande, Matthias Saba +2
This paper provides a construction and existence proof for a 1-parameter family of chiral unbalanced triply-periodic minimal surfaces of genus 4. We name these {\textit{gyrating H'…
math.DG2025
Gluing doubly periodic Scherk surfaces into minimal surfaces
Hao Chen, Yunhua Wu
We construct minimal surfaces by stacking doubly periodic Scherk surfaces one above another and gluing them along their ends. It is previously known that the Karcher--Meeks--Rosenb…
math.GT2024
Genus three Goeritz groups of connected sums of two lens spaces
Hao Chen, YanQing Zou
We prove that the mapping class groups of the genus 3 Heegaard splittings of the connected sum of two lens spaces are finitely generated, and the corresponding reducing sphere comp…