Lie groupoids of symmetries and geometric structures on manifolds
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Lefschetz fibrations, Lie groupoids and noncommutative geometry
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Fluminense UFF, Rua Prof Marcos Waldemar Freitas Reis S-N, BR-24210201 Niteroi, RJ - Brazil
[2] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | LETTERS IN MATHEMATICAL PHYSICS; v. 111, n. 4 AUG 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
The linearization theorem for proper Lie groupoids organizes and generalizes several results for classic geometries. Despite the various approaches and recent works on the subject, the problem of understanding invariant linearization remains somehow open. We address it here, by first giving a counter-example to a previous conjecture, and then proving a sufficient criterion that uses compatible complete metrics and covers the case of proper group actions. We also show a partial converse that fixes and extends previous results in the literature. (AU) | |
| FAPESP's process: | 19/14777-3 - The interplay between Lie groupoids and Riemannian Geometry |
| Grantee: | Mateus Moreira de Melo |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |