泊松流形切束上的双哈密顿结构

Pub Date : 2019-01-01 DOI:10.7546/jgsp-52-2019-47-66

A. Dobrogowska, G. Jakimowicz, Karolina Wojciechowicz

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引用次数: 1

摘要

亚历山大B.亚诺夫斯基通讯摘要。在M具有双哈密顿结构(M，π1， π2)的情况下，我们给出了如何在泊松流形的切束TM上构造泊松结构族。此外，我们还介绍了如何求这些结构的卡西米尔函数，并讨论了一些具体的例子。MSC: 53d17, 37k10

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Bi-Hamiltonian Structures on the Tangent Bundle to a Poisson Manifold

Communicated by Alexandar B. Yanovski Abstract. In the case when M is equipped with a bi-Hamiltonian structure (M,π1, π2) we show how to construct family of Poisson structures on the tangent bundle TM to a Poisson manifold. Moreover we present how to find Casimir functions for those structures and we discuss some particular examples. MSC : 53D17, 37K10

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