Minimal surfaces of rotation in Finsler space with a Randers metric
This paper obtains some results related to minimal surfaces of rotation in three dimensional Randers spaces. As in the Riemannian case, these surfaces are generated by concave plane curves rotated around an axis perpendicular to a plane of symmetry. The Finsler nature of a space allows the generalization of Cauchy sequences to the distinction of forward and backward completeness. This is applied here to the metric on surfaces of rotation. There is a differential equation which characterizes the minimal surfaces for immersion in Randers spaces.
scientific article; zbMATH DE number 1944286
scientific article