A remark on limits of triply periodic minimal surfaces of genus 3

作者：Ejiri Norio; Fujimori Shoichi; Shoda Toshihiro^*

来源：Topology and Its Applications, 2015, 196: 880-903.

DOI：10.1016/j.topol.2015.05.014

• Minimal surface
• Triply periodic
• Limit

In this paper, we consider limits of triply periodic minimal surfaces in R-3. We prove that some important examples of singly or doubly periodic minimal surfaces can be obtained as limits of triply periodic minimal surfaces. Moreover, we give a mathematical proof of the existence of one-parameter family of triply periodic minimal surfaces which is defined in chemistry.

• 出版日期2015-12