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Lift of the Finsler foliation to its normal bundle
- Source :
-
Differential Geometry & its Applications . Mar2006, Vol. 24 Issue 2, p209-214. 6p. - Publication Year :
- 2006
-
Abstract
- Abstract: E. Ghys in [E. Ghys, Appendix E: Riemannian foliations: Examples and problems, in: P. Molino (Ed.), Riemannian Foliations, Birkhäuser, Boston, 1988, pp. 297–314. ] has posed a question (still unsolved) if any Finslerian foliation is a Riemannian one? In this paper we prove that the natural lift of a Finslerian foliation to its normal bundle is a Riemannian foliation for some Riemannian transversal metric. The methods we used here are closely related to those used by M. Abate and G. Patrizio in [M. Abate, G. Patrizio, Finsler Metrics—A Global Approach, Springer-Verlag, Berlin, 1994]. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 09262245
- Volume :
- 24
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Differential Geometry & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19395173
- Full Text :
- https://doi.org/10.1016/j.difgeo.2005.09.008