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李群上的不变结构

IF 1 4区 数学 Q3 MATHEMATICS, APPLIED
Journal of Geometric Mechanics Pub Date : 2020-01-01 DOI:10.3934/jgm.2020007
J. P. Álvarez
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引用次数: 0

摘要

我们用几何工具研究了丝状结构的接触和化简，定义了李群上的哈密顿结构和动量映射。
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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Invariant structures on Lie groups
We approach with geometrical tools the contactization and symplectization of filiform structures and define Hamiltonian structures and momentum mappings on Lie groups.
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来源期刊
Journal of Geometric Mechanics
Journal of Geometric Mechanics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL
CiteScore
1.70
自引率
12.50%
发文量
23
审稿时长
>12 weeks
期刊介绍： The Journal of Geometric Mechanics (JGM) aims to publish research articles devoted to geometric methods (in a broad sense) in mechanics and control theory, and intends to facilitate interaction between theory and applications. Advances in the following topics are welcomed by the journal: 1. Lagrangian and Hamiltonian mechanics 2. Symplectic and Poisson geometry and their applications to mechanics 3. Geometric and optimal control theory 4. Geometric and variational integration 5. Geometry of stochastic systems 6. Geometric methods in dynamical systems 7. Continuum mechanics 8. Classical field theory 9. Fluid mechanics 10. Infinite-dimensional dynamical systems 11. Quantum mechanics and quantum information theory 12. Applications in physics, technology, engineering and the biological sciences.
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