Second Variation of Sub-Riemannian Surface Measure of Non-horizontal Submanifolds in Sub-Riemannian Stratified Lie Groups

被引：0
|
作者：
Maria R. B. Santos
José M. M. Veloso
机构：
[1] Departamento de Matemática,
[2] Universidade Federal do Amazonas,undefined
[3] Faculdade de Matemática,undefined
[4] Universidade Federal do Pará,undefined
来源：
Journal of Dynamical and Control Systems | 2023年 / 29卷
关键词：
Second variation; Sub-Riemannian measure; Non-horizontal submanifolds; Stratified groups; Heisenberg group; Minimal surfaces; Stability; 53C17; 22E25; 28A75; 49Q15;
D O I：
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中图分类号：
学科分类号：
摘要：
We establish the second variation of sub-Riemannian surface measure for minimal non-horizontal submanifolds of a sub-Riemannian stratified Lie group. We obtain some applications for codimension one. Furthermore, we present a new proof of the fact that the hyperbolic paraboloid is stable in the Heisenberg group.
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页码：721 / 756
页数：35
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