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math.DG2000
Double Bubbles Minimize
Joel Hass, Roger Schlafly
The classical isoperimetric inequality in R^3 states that the surface of smallest area enclosing a given volume is a sphere. We show that the least area surface enclosing two equal…
math.GT2000
On finiteness of the number of boundary slopes of immersed surfaces in 3-manifolds
Joel Hass, Shicheng Wang, Qing Zhou
For any hyperbolic 3-manifold with totally geodesic boundary, there are finitely many boundary slopes for essential immersed surfaces of a given genus. There is a uniform bound…