arXiv subjects

Baris Coskunuzer

Publications and source records attributed to Baris Coskunuzer.

56 records · Page 4Linked to original sources

arXiv2003

Minimal Planes in Hyperbolic Space

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 is a submanifold of a product bundle over a space of immersions of circle into sphere at infinity. The bundle projection map when restricted to this submanifold is Fredholm of index zero. By using this result, we also show that the space of minimal planes with smooth boundary curve at infinity is a manifold.

math.DG↗

arXiv2003

Uniform 1-Cochains and Genuine Laminations

We construct a pair of transverse genuine laminations on an atoroidal 3-manifold admitting transversely orientable uniform 1-cochain. The laminations are induced by the uniform 1-cochain and they are indeed the "straightening" of the coarse laminations defined in [Ca], by using minimal surface techniques. Moreover, when you collapse these laminations, you can get a topological pseudo-Anosov flow, as defined by Mosher, [Mo].

math.GT↗