| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY; v. 61, n. 3, p. 593-619, APR 2022. |
| Web of Science Citations: | 0 |
| Abstract | |
We describe a local model for any singular Riemannian foliation in a neighborhood of a closed saturated submanifold of a singular stratum. Moreover, we construct a Lie groupoid that controls the transverse geometry of the linear approximation of the singular Riemannian foliation around these submanifolds. We also discuss the closure of this Lie groupoid and its Lie algebroid. (AU) | |
| FAPESP's process: | 15/22059-2 - Geometry and topology via Lie Theory |
| Grantee: | Ivan Struchiner |
| Support Opportunities: | Regular Research Grants |
| 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 |
| FAPESP's process: | 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Projects - Thematic Grants |