The isotropy lattice of a lifted action
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arXiv
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| Format: | Preprint |
| Published: |
2005
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| _version_ | 1866913654770761728 |
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| author | Rodriguez-Olmos, Miguel |
| author_facet | Rodriguez-Olmos, Miguel |
| contents | We obtain an algorithmic construction of the isotropy lattice for a lifted action of a Lie group $G$ on $TM$ and $T^*M$ based only on the knowledge of $G$ and its action on $M$. Some applications to symplectic geometry are also shown. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0506014 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | The isotropy lattice of a lifted action Rodriguez-Olmos, Miguel Differential Geometry Symplectic Geometry 22E99, 32S60, 53D20 We obtain an algorithmic construction of the isotropy lattice for a lifted action of a Lie group $G$ on $TM$ and $T^*M$ based only on the knowledge of $G$ and its action on $M$. Some applications to symplectic geometry are also shown. |
| title | The isotropy lattice of a lifted action |
| topic | Differential Geometry Symplectic Geometry 22E99, 32S60, 53D20 |
| url | https://arxiv.org/abs/math/0506014 |