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For questions about minimal surfaces in the sense of Riemannian geometry (as opposed to complex geometry).

7 votes
Accepted

Work on triply periodic minimal surfaces

This is an active research topic. I'm currently working on the front line towards a classification of TPMSs of genus 3 (TPMSg3s). My collaborators include Weber and Traizet. I also know a Japanese …
Hao Chen's user avatar
  • 2,581
5 votes
0 answers
94 views

Is every space group the symmetry group of some triply periodic minimal surface?

I know that there are a lot of TPMS with different symmetry groups. It seems like every space group is the symmetry group of some TPMS. But I can not find a reference that confirms this for all the …
Hao Chen's user avatar
  • 2,581
3 votes
1 answer
142 views

Applications of maximal surfaces in Lorentz spaces

I have been working on minimal surfaces, only recently learnt about maximal surfaces and "maxfaces" in Lorentz spaces. I can clearly see the mathematical motivations. But I wonder if zero-mean-curvat …
Hao Chen's user avatar
  • 2,581