Lift of the Finsler foliation to its normal bundle

Some framed f-structures on transversally Finsler foliations

“…Let us consider ∇ : X (V ) → X (T * Q ⊗ V ) to be the unique good vertical Bott connection introduced in [9]. We notice that for vertical vector fields, it is locally given by…”

“…Also, by using the technique of good vertical connection often used in Finsler geometry (see [1]), in [9] it is proved that the normal bundle Q(Q) has a local model of tangent manifold. Thus we have the spliting In the sequel we will use the adapted basis {δ α := δ δx α , .…”

“…Further developments concerning framed f (3, −1)-structure on such manifold was studied in [5,6]. In a paper by A. Miernowski and W. Mozgawa [9] was defined the notion of transversally Finsler foliation and there it is proved that the normal bundle of the lifted Finsler foliation to its normal bundle has a local model of tangent manifold and it is the Riemannian one. Thus, some problems specific for tangent manifolds can be extended and studied on the normal bundle of the lifted Finsler foliation.…”

“…In this section we briefly recall some basic facts about transversally Finsler foliations (see [9]). …”

Majorization for certain classes of meromorphic functions defined by integral operator

“…Then F is a Finsler metric on M adapted to F in the sense of [3], [4], (T u L) ⊥ is its transversal cone at u ( [3]) and the metric F induces the metric F on the bundle Q.…”