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math.DG2005
Minimizing Constant Mean Curvature Hypersurfaces in Hyperbolic Space
Baris Coskunuzer
We study the constant mean curvature (CMC) hypersurfaces in hyperbolic space whose asymptotic boundaries are closed codimension-1 submanifolds in sphere at infinity. We consider CM…
math.DG2004
Mean Convex Hulls and Least Area Disks spanning Extreme Curves
Baris Coskunuzer
We show that for any extreme curve in a 3-manifold M, there exist a canonical mean convex hull containing all least area disks spanning the curve. Similar result is true for asympt…
math.DG2003
Minimal Planes in Hyperbolic Space
Baris Coskunuzer
We show a generic finiteness result for least area planes in 3-dimensional hyperbolic space. Moreover, we prove that the space of minimal immersions of disk into hyperbolic space i…