作为伴随轨道的涡环流形

IF 0.7 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2025-10-01 DOI:10.1016/j.difgeo.2025.102300

Ioana Ciuclea, Cornelia Vizman

引用次数: 0

摘要

我们研究了一类由涡环组成的平面的保面积微分同构群的伴轨，即平面上被允许为零的一形式（涡密度）装饰的闭曲线。

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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Manifolds of vortex loops as coadjoint orbits

We study a class of coadjoint orbits of the area preserving diffeomorphism group of the plane consisting of vortex loops, namely closed curves in the plane decorated with one-forms (vorticity densities) allowed to have zeros.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.