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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2506.01058 |
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| _version_ | 1866918346520264704 |
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| author | Ishikawa, Genki Tarama, Daisuke |
| author_facet | Ishikawa, Genki Tarama, Daisuke |
| contents | The present paper deals with the stability analysis for the geodesic flow of a step-two nilpotent Lie group equipped with a left-invariant pseudo-Riemannian metric. The Lie-Poisson equation can be described in terms of the so-called $j$-mapping, a linear operator associated to the step-two nilpotent Lie algebras equipped with the induced scalar product. The stability of equilibrium points for the Hamilton equation is determined in terms of their Williamson types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability analysis for the pseudo-Riemannian geodesic flows of step-two nilpotent Lie groups Ishikawa, Genki Tarama, Daisuke Dynamical Systems The present paper deals with the stability analysis for the geodesic flow of a step-two nilpotent Lie group equipped with a left-invariant pseudo-Riemannian metric. The Lie-Poisson equation can be described in terms of the so-called $j$-mapping, a linear operator associated to the step-two nilpotent Lie algebras equipped with the induced scalar product. The stability of equilibrium points for the Hamilton equation is determined in terms of their Williamson types. |
| title | Stability analysis for the pseudo-Riemannian geodesic flows of step-two nilpotent Lie groups |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2506.01058 |