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Nontrivial minimal surfaces in a hyperbolic Randers space
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 vector 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 urn:x-wiley:0025584X:media:mana201500356:mana201500356-math-0001, which are the first examples of BH‐minimal surfaces in the hyperbolic Randers space.
Keywords:Finsler geometry  Finsler metric  Randers space  minimal surface  hyperbolic space  53B40  53C60
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