The aim of the present paper is to introduce the notion of conformally doubly warped product Finsler manifold (CDWPF). For such a Finsler manifold, the coefficients of Barthel connection and its curvature tensor are investigated. The coefficients of Cartan, Berwald, Hashiguchi and Chern (Rund) connections of CDWPF are calculated. Some special Finsler spaces are studied.

中文翻译：

---

保形双翘产品 Finsler 流形

本文的目的是介绍保形双翘积芬斯勒流形 (CDWPF) 的概念。对于这样的 Finsler 流形，研究了 Barthel 连接的系数及其曲率张量。计算CDWPF的Cartan、Berwald、Hashiguchi和Chern (Rund)连接系数。研究了一些特殊的 Finsler 空间。