A special class of regular connections in Finsler geometry | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 27, Issue 1, 2019, Pages 1-8 PDF (547.62 K) | ||
| DOI: 10.1186/s42787-019-0026-9 | ||
| Author | ||
| A. Soleiman1, 2 | ||
| 1Department of Mathematics, Faculty of Sciences, Benha University, Benha, Egypt | ||
| 2Department of Mathematics, Collage of Sciences and Arts in Gurayat, Jouf University, Sakakah, Kingdom of Saudi Arabia | ||
| 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. | ||
| Keywords | ||
| Finsler manifold; P1-connection; Nonlinear connection; Barthel connection; Cartan connection; Berwald connection; Chern connection; Hashiguchi connection | ||
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