On conformally doubly warped product Finsler manifold

Abstract

Abstract 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.

Keywords

• Finsler manifold
• Barthel connection
• Cartan connection
• Berwald connection
• Conformally doubly warped product Finsler manifold
• Riemannian spaces