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arXiv · 1403.8025

On minimal immersions in Finsler spaces

Patrick Overath·Heiko von der Mosel
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Abstract

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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Patrick Overath, Heiko von der Mosel. 2014-04-01. On minimal immersions in Finsler spaces. https://arxiv.org/abs/1403.8025

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