Non-degeneracy of the Hofer norm for Poisson structures

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2018-09-27 DOI:10.4310/jsg.2021.v19.n5.a3

Duvsan Joksimovi'c, I. Marcut

引用次数: 1

Abstract

We remark that, as in the symplectic case, the Hofer norm on the Hamiltonian group of a Poisson manifold is non-degenerate. The proof is a straightforward application of tools from symplectic topology.

查看原文本刊更多论文

泊松结构的Hofer范数的非简并性

我们注意到，在辛情况下，泊松流形的哈密顿群上的Hofer范数是非简并的。证明是辛拓扑工具的直接应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.