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Results tagged with dg.differential-geometry
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user 20595
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
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 …
- 2,581
1
vote
Convex caps with prescribed edges and curvature
Given Gaussian curvatures at the vertices, there is a unique lift that realizes these curvatures, as you can see from Igor's note.
Given a graph, the set of liftings that projects to this graph form …
- 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 …
- 63.9k
5
votes
1
answer
266
views
Generalized Plateau problem with non-Jordan boundary
Let $C_\pm$ be the two circles obtained by intersecting the cylinder $x^2+y^2=R^2$ with the planes $z=\pm 1$, on which we mark four points $A_\pm:(R,0,\pm 1)$ and $B_\pm:(-R,0,\pm 1)$. Assume that $R …
- 881