On minimal immersions in Finsler space

被引：3
|
作者：
Overath, Patrick [1 ]
von der Mosel, Heiko [1 ]
机构：
[1] Rhein Westfal TH Aachen, Inst Math, Aachen, Germany
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2015年 / 48卷 / 04期
关键词：
Finsler-minimal immersions; Cartan functionals; Spherical Radon transform; SURFACES; THEOREMS; EXISTENCE;
D O I：
10.1007/s10455-015-9476-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 graph-like boundary contours.
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页码：397 / 422
页数：26
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