Applications of Nijenhuis geometry: non-degenerate singular points of Poisson–Nijenhuis structures

Author:

Bolsinov Alexey V.ORCID,Konyaev Andrey Yu.,Matveev Vladimir S.

Abstract

AbstractWe study and completely describe pairs of compatible Poisson structures near singular points of the recursion operator satisfying natural non-degeneracy condition.

Funder

Russian Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference21 articles.

1. Bolsinov, A., Matveev, V.S., Miranda, E., Tabachnikov, S.: Open problems, questions, and challenges in finite-dimensional integrable systems. Philos. Trans. R. Soc. A 376(2131), # 20170430 (2018). arXiv:1804.03737

2. Bolsinov, A.V., Konyaev, A.Yu., Matveev, V.S.: Nijenhuis Geometry (2019). arXiv:1903.04603

3. Bolsinov, A., Konyaev, A., Matveev, V.: Nijenhuis Geometry III: gl-Regular Nienhuis Operators (2020). arXiv:2007.09506

4. Ferapontov, E.V.: Compatible Poisson brackets of hydrodynamic type. J. Phys. A 34(11), 2377–2388 (2001)

5. Ferapontov, E.V., Lorenzoni, P., Savoldi, A.: Hamiltonian operators of Dubrovin–Novikov type in 2D. Lett. Math. Phys. 105(3), 341–377 (2015)

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators;Russian Journal of Mathematical Physics;2023-12

2. Webs, Nijenhuis operators, and heavenly PDEs;Classical and Quantum Gravity;2023-10-30

3. Applications of Nijenhuis Geometry III: Frobenius Pencils and Compatible Non-homogeneous Poisson Structures;The Journal of Geometric Analysis;2023-04-17

4. Integrating Nijenhuis structures;Annali di Matematica Pura ed Applicata (1923 -);2023-01-27

5. Projective-geometric aspects of bi-Hamiltonian structures of KdV type;The Diverse World of PDEs;2023

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3