Abstract

We investigate a connection between the two-dimensional Finslerian area functional in arbitrary codimension based on the Busemann–Hausdorff volume form, and well-investigated Cartan functionals to solve the Plateau problem in Finsler spaces. This generalises a previously known result due to Overath and von der Mosel (Manuscripta Math 143(3–4):273–316, 2014) to higher codimension.

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