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math.DG2023
Minimal diffeomorphisms with Hopf differentials
Nathaniel Sagman
We prove that for any two Riemannian metrics on the unit disk, a homeomorphism extends to at most one quasiconformal minimal di…
math.GT2023
Non-convexity of extremal length
Nathaniel Sagman
With respect to every Riemannian metric, the Teichmüller metric, and the Thurston metric on Teichmüller space, we show that there exist measured foliations on surfaces whose extrem…
math.DG2023★ 1 cited
Minimal surfaces and the new main inequality
Vladimir Markovic, Nathaniel Sagman
We establish the new main inequality as a minimizing criterion for minimal maps to products of -trees, and the infinitesimal new main inequality as a stability criterio…