海森堡群中H-极小勒让德曲面的几乎单调性公式

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials 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

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567