Nontrivial minimal surfaces in a hyperbolic Randers space
arXiv:1603.04962
Abstract
The contribution of this paper is two-fold. The first one is to derive a simple formula of the mean curvature form for a hypersurface in the Randers space with a Killing field, by considering the Busemann-Hausdorff measure and Holmes-Thompson measure simultaneously. The second one is to obtain the explicit local expressions of two types of nontrivial rotational BH-minimal surfaces in a Randers domain of constant flag curvature , which are the first examples of BH-minimal surfaces in the hyperbolic Randers space.
14 pages, 0 figures