Minimal Surfaces with Arbitrary Topology in H^2xR

Abstract

We show that any open orientable surface S can be properly embedded in H^2xR as an area minimizing surface.

26 pages, 6 figures. With the editors' request, the paper splitted into two parts. The other part posted as APP for Tall Curves (arXiv:2006.01669)

References in corpus (3)

• Asymptotic Plateau Problem in H2xR
• $H$-Surfaces with Arbitrary Topology in Hyperbolic 3-Space
• Non-properly Embedded H-Planes in H^2xR