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Foliated vector bundles and Riemannian foliations
- Source :
-
Comptes Rendus. Mathématique . Apr2011, Vol. 349 Issue 7/8, p445-449. 5p. - Publication Year :
- 2011
-
Abstract
- Abstract: In this Note we prove the equivalence between the Riemannian foliation and each of the following conditions: 1) the lifted foliation on the bundle of r-transverse jets is Riemannian for ; 2) the foliation on the slashed is Riemannian and vertically exact for ; 3) there exists a positively admissible transverse Lagrangian on , the r-transverse slashed jet bundle of a foliated bundle , for . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 1631073X
- Volume :
- 349
- Issue :
- 7/8
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 60044705
- Full Text :
- https://doi.org/10.1016/j.crma.2011.02.017