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arxiv: 1403.8025 · v2 · pith:ZVCBQRJRnew · submitted 2014-03-31 · 🧮 math.DG · math.AP· math.CA

On minimal immersions in Finsler spaces

classification 🧮 math.DG math.APmath.CA
keywords immersionsfinslerfinsler-minimalminimalspacestheoremsadditionarea
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We explore a connection between the Finslerian area functional and well-investigated Cartan functionals to prove new Bernstein theorems, uniqueness and removability results for Finsler-minimal graphs, as well as enclosure theorems and isoperimetric inequalities for minimal immersions in Finsler spaces. In addition, we establish the existence of smooth Finsler-minimal immersions spanning given extreme or graphlike boundary contours.

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