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THE WARPED SCHOUTEN-VAN KAMPEN AND VRANCEANU CONNECTIONS
Author(s) : Y. Alipour Fakhri
Pages : [85] - [116]
Received : January 23, 2024; Revised April 15, 2024
Communicated by : Professor Suayip Yuzbasi
Pages : [85] - [116]
Received : January 23, 2024; Revised April 15, 2024
Communicated by : Professor Suayip Yuzbasi
Abstract
In this paper, we develop Schouten-Van Kampen and Vranceanu connections for the warped product Finsler manifolds by applying the warped Levi-Civita connection to tangent bundle. Also, necessary and sufficient conditions are obtained for 
(warped Sasaki-Matsumoto metric) to be totally geodesic and bundle like.
Keywords
Finsler manifold, warped product, vertical foliation, Schouten-Van Kampen and Vranceanu connections.