On minimal immersions in Finsler spaces
Differential Geometry
2014-04-02 v2 Analysis of PDEs
Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1403.8025,
title = {On minimal immersions in Finsler spaces},
author = {Patrick Overath and Heiko von der Mosel},
journal= {arXiv preprint arXiv:1403.8025},
year = {2014}
}
Comments
26 pages, changed numbering of equations