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On the topology of leaves of singular Riemannian foliations.
- Source :
-
Revista Mathematica Iberoamericana . 2024, Vol. 40 Issue 1, p111-128. 18p. - Publication Year :
- 2024
-
Abstract
- In this paper, we establish a number of results about the topology of the leaves of a closed singular Riemannian foliation .M;F /. If M is simply connected, we prove that the leaves are finitely covered by nilpotent spaces, and characterize the fundamental group of the generic leaves. If M has virtually nilpotent fundamental group, we prove that the leaves have virtually nilpotent fundamental group as well. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NILPOTENT groups
*TOPOLOGY
*NILPOTENT Lie groups
*FOLIATIONS (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 02132230
- Volume :
- 40
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Revista Mathematica Iberoamericana
- Publication Type :
- Academic Journal
- Accession number :
- 175472874
- Full Text :
- https://doi.org/10.4171/RMI/1435