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Regularisation of Lie algebroids and applications.
- Source :
-
Journal of Geometry & Physics . Dec2023, Vol. 194, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- We describe a procedure, called regularisation, that allows us to study geometric structures on Lie algebroids via foliated geometric structures on manifolds of higher dimension. This procedure applies to various classes of Lie algebroids; namely, those whose singularities are of b k , complex-log, or elliptic type, possibly with self-crossings. One of our main applications is a proof of the Weinstein conjecture for overtwisted b k -contact structures. This was proven in [23] using a certain technical hypothesis. Our approach avoids this assumption by reducing the proof to the foliated setting. As a by-product, we also prove the Weinstein conjecture for other Lie algebroids. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBROIDS
*FOLIATIONS (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 194
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 174031885
- Full Text :
- https://doi.org/10.1016/j.geomphys.2023.105023