论文标题

非线性标志歧管作为共同连接轨道

Nonlinear flag manifolds as coadjoint orbits

论文作者

Haller, Stefan, Vizman, Cornelia

论文摘要

非线性标志是嵌套闭合子曼膜的有限序列。我们研究了非线性旗帜的特征歧管的几何形状,以这种方式概括了非线性的司羊grass虫。作为一种应用,我们描述了由嵌套的符号次级亚曼群(即符号非线性非线性标志)组成的哈密顿型差异的一类旋转。

A nonlinear flag is a finite sequence of nested closed submanifolds. We study the geometry of Frechet manifolds of nonlinear flags, in this way generalizing the nonlinear Grassmannians. As an application we describe a class of coadjoint orbits of the group of Hamiltonian diffeomorphisms that consist of nested symplectic submanifolds, i.e., symplectic nonlinear flags.

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