海森堡群中H-极小勒让德曲面的几乎单调性公式

IF 3.1 1区数学 Q1 MATHEMATICS

Communications on Pure and Applied Mathematics Pub Date : 2023-10-03 DOI:10.1002/cpa.22179

Tristan Rivière

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引用次数: 0

摘要

我们证明了海森堡群H2$｛\mathbb｛H｝｝^2$中H-极小勒让德曲面（也称为接触平稳勒让德浸入或哈密顿平稳浸入）的几乎单调性公式。从这个公式我们推导出H-极小Legendarian曲面的Bernstein—Liouville型定理。我们还介绍了这个公式的一些可能的应用范围。

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Almost monotonicity formula for H-minimal Legendrian surfaces in the Heisenberg group

We prove an almost monotonicity formula for H-minimal Legendrian Surfaces (also called contact stationary Legendrian immersions or Hamiltonian stationary immersions) in the Heisenberg Group $H^{2}$ . From this formula we deduce a Bernstein-Liouville type theorem for H-minimal Legendrian Surfaces. We also present some possible range of applications of this formula.

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来源期刊

Communications on Pure and Applied Mathematics 数学-数学

CiteScore

6.70

自引率

3.30%

发文量

审稿时长

>12 weeks

期刊介绍： Communications on Pure and Applied Mathematics (ISSN 0010-3640) is published monthly, one volume per year, by John Wiley & Sons, Inc. © 2019. The journal primarily publishes papers originating at or solicited by the Courant Institute of Mathematical Sciences. It features recent developments in applied mathematics, mathematical physics, and mathematical analysis. The topics include partial differential equations, computer science, and applied mathematics. CPAM is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included.