A Study of the Spectral Sequence for Locally Free Isometric Actions of Abelian Lie Groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911006503993344 |
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| author | Raźny, Paweł |
| author_facet | Raźny, Paweł |
| contents | We give an upper bound on the number of the page on which the spectral sequence corresponding to a locally free isometric action of an abelian Lie group degenerates. We give examples showing that these bounds are indeed sharp. Finally, we further justify the study of this sequence by exhibiting a potential application to the study of harmonic forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12422 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Study of the Spectral Sequence for Locally Free Isometric Actions of Abelian Lie Groups Raźny, Paweł Differential Geometry 53C12 We give an upper bound on the number of the page on which the spectral sequence corresponding to a locally free isometric action of an abelian Lie group degenerates. We give examples showing that these bounds are indeed sharp. Finally, we further justify the study of this sequence by exhibiting a potential application to the study of harmonic forms. |
| title | A Study of the Spectral Sequence for Locally Free Isometric Actions of Abelian Lie Groups |
| topic | Differential Geometry 53C12 |
| url | https://arxiv.org/abs/2506.12422 |