A vertical Liouville subfoliation on the cotangent bundle of a Cartan space and some related structures

C Ida, A Manea - International Journal of Geometric Methods in …, 2014 - World Scientific
In this paper, we study some problems related to a vertical Liouville distribution (called
vertical Liouville–Hamilton distribution) on the cotangent bundle of a Cartan space. We …

A class of non-holonomic projective connections on sub-Riemannian manifolds

Y Han, F Fu, P Zhao - Filomat, 2017 - JSTOR
The authors define a semi-symmetric non-holonomic (SSNH)-projective connection on sub-
Riemannian manifolds and find an invariant of the SSNH-projective transformation. The …

Adapted basic connections to a certain subfoliation on the tangent manifold of a Finsler space

A Manea, C Ida - Turkish Journal of Mathematics, 2014 - journals.tubitak.gov.tr
On the slit tangent manifold TM^ 0 of a Finsler space (M, F) there are given some natural
foliations as vertical foliation and some other fundamental foliations produced by the vertical …

Weakly symmetry of a class of g-natural metrics on tangent bundles

E Peyghan - Journal of Contemporary Mathematical Analysis, 2016 - Springer
The paper considers a class of g-natural metrics G on the tangent bundle TM of a
Riemannian manifold (M, g). We prove that the flatness of g is necessary and sufficient for a …