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- Title
On the connections of sub-Finslerian geometry.
- Authors
Alabdulsada, Layth M.; Kozma, László
- Abstract
A sub-Finslerian manifold is, roughly speaking, a manifold endowed with a Finsler type metric which is defined on a k -dimensional smooth distribution only, not on the whole tangent manifold. Our purpose is to construct a generalized nonlinear connection for a sub-Finslerian manifold, called ℒ -connection by the Legendre transformation which characterizes normal extremals of a sub-Finsler structure as geodesics of this connection. We also wish to investigate some of its properties like normal, adapted, partial and metrical.
- Subjects
GEOMETRY; MANIFOLDS (Mathematics)
- Publication
International Journal of Geometric Methods in Modern Physics, 2019, Vol 16, pN.PAG
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887819410068