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arXiv · 1603.04962

Nontrivial minimal surfaces in a hyperbolic Randers space

Ningwei Cui·Yi-Bing Shen
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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 $K=-1$, which are the first examples of BH-minimal surfaces in the hyperbolic Randers space.

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Ningwei Cui, Yi-Bing Shen. 2016-03-16. Nontrivial minimal surfaces in a hyperbolic Randers space. https://arxiv.org/abs/1603.04962

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