Some framed f - structures on transversally Finsler foliations
نویسندگان
چکیده
Some problems concerning to Liouville distribution and framed f -structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed f(3, ε)structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.
منابع مشابه
On the k-nullity foliations in Finsler geometry
Here, a Finsler manifold $(M,F)$ is considered with corresponding curvature tensor, regarded as $2$-forms on the bundle of non-zero tangent vectors. Certain subspaces of the tangent spaces of $M$ determined by the curvature are introduced and called $k$-nullity foliations of the curvature operator. It is shown that if the dimension of foliation is constant, then the distribution is involutive...
متن کاملStructure of the indicatrix bundle of Finsler-Rizza manifolds
In this paper, we construct a framed f -structure on the slit tangent space of a Rizza manifold. This induces on the indicatrix bundle an almost contact metric. We find the conditions under which this structure reduces to a contact or to a Sasakian structure. Finally we study these structures on Kählerian Finsler manifolds. M.S.C. 2010: 53B40, 53C60, 32Q60, 53C15.
متن کاملPara-CR structures of codimension 2 on tangent bundles in Riemann-Finsler geometry
We determine a 2-codimensional para-CR structure on the slit tangent bundle T0M of a Finsler manifold (M,F ) by imposing a condition regarding the almost paracomplex structure P associated to F when restricted to the structural distribution of a framed para-f -structure. This condition is satisfied when (M,F ) is of scalar flag curvature (particularly constant) or if the Riemannian manifold (M,...
متن کاملCR-structures of codimension 2 on tangent bundles in Riemann-Finsler geometry
We determine a 2-codimensional CR-structure on the slit tangent bundle T0M of a Finsler manifold (M, F) by imposing a condition on the almost complex structure associated to F when restricted to the structural distribution of a framed f -structure. This condition is satisfied when (M, F) is of scalar flag curvature (particularly flat). In the Riemannian case (M, g) this last condition means tha...
متن کاملOn Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle
We consider the lift of a foliation to its conormal bundle and some transverse geometrical structures associated with this foliation are studied. We introduce a good vertical connection on the conormal bundle and, moreover, if the conormal bundle is endowed with a transversal Cartan metric, we obtain that the lifted foliation to its conormal bundle is a Riemannian one. Also, some transversally ...
متن کامل