Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606727 | Differential Geometry and its Applications | 2006 | 6 Pages |
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. [3]] 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].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A. Miernowski, W. Mozgawa,