Stable H-Minimal Hypersurfaces

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• 作者：Francescopaolo Montefalcone (1)
  
  1. Dipartimento di Matematica ; Universit脿 degli Studi di Padova ; Via Trieste ; 63 ; 35121 ; Padova ; Italy
  
• 关键词：Carnot groups ; H ; minimal hypersurfaces ; First and second variation ; H ; perimeter ; Stability ; Characteristic set ; 49Q15 ; 46E35 ; 22E60
• 刊名：Journal of Geometric Analysis
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：25
• 期：2
• 页码：820-870
• 全文大小：732 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Differential Geometry
  Convex and Discrete Geometry
  Fourier Analysis
  Abstract Harmonic Analysis
  Dynamical Systems and Ergodic Theory
  Global Analysis and Analysis on Manifolds
  
• 出版者：Springer New York
• ISSN：1559-002X

文摘

We prove some stability results for smooth non-characteristic H-minimal hypersurfaces immersed in a sub-Riemannian k-step Carnot group \(\mathbb{G}\) . The main tools are the formulas for the first and second variation of the H-perimeter measure \(\sigma^{n-1}_{^{_{\mathit{H}}}}\) together with some non-trivial geometric identities.