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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
20
votes
0
answers
296
views
Modified Willmore energy and surfaces with infinitesimally narrow necks
Disclaimer: This is a copy of a question that I asked on the Mathematics Stack Exchange. It was suggested to me there that the question was worth asking over here.
There is an open problem in theor …
3
votes
0
answers
120
views
Small perimeter-minimizing disks on curved surfaces
Suppose that I have a smooth curved surface, and I choose an arbitrary point $Q$ on that surface. Say the Gaussian curvature at that point is $K$. What I am wondering is, is there an expression for th …