S2×S2中具有Legendrian毛细管边界的极小拉格朗日曲面

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-09-18 DOI:10.1016/j.jfa.2025.111207

Mingyan Li

引用次数: 0

摘要

本文研究了S2×S1上具有勒让德毛细管边界的极小拉格朗日曲面。我们证明了这样的曲面必须是环型的，并且它们与完全测地线拉格朗日环面是一致的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Minimal Lagrangian surfaces with Legendrian capillary boundary in S2×S2

In this paper we study minimal Lagrangian surfaces in

S^{2} \times S^{2}

with Legendrian capillary boundary on

S^{2} \times S^{1}

. We prove that such surfaces must be of annulus type and they are congruent to the totally geodesic Lagrangian torus.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis