Abstract
In this paper, we investigate intrinsically a special class of regular Finsler connections in the pullback formalism. Such connections are called P1-connections. Important result concerning the nonlinear connection of these connections is obtained. Some examples of P1-connections are given. One of these examples is investigated with some details.
Highlights
The theory of connections is an important field of research of differential geometry
The main purpose of this paper is to provide an intrinsic study for a special class of regular Finsler connections in the pullback bundle
It is shown that for these connections, the associated semi-spray coincides with the canonical spray and the associated nonlinear connection coincides with the Barthel connection
Summary
The theory of connections is an important field of research of differential geometry. [12] On a Finsler manifold (M, L), there exists a unique conservative homogenous nonlinear connection with zero torsion. We will study the Finsler connections defined by the set of axiom given in the definition.
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