A special class of regular connections in Finsler geometry

Abstract

Abstract In this paper, we investigate intrinsically a special class of regular Finsler connections in the pullback formalism. Such connections are called P 1-connections. Important result concerning the nonlinear connection of these connections is obtained. Some examples of P 1-connections are given. One of these examples is investigated with some details.

Keywords

• Finsler manifold
• P 1-connection
• Nonlinear connection
• Barthel connection
• Cartan connection
• Berwald connection