Torse-forming infinitesimal transformation and torse-forming curvature inheritance in a Finsler space have been studied by Mishra and Mishra, Mishra and Lodhi respectively. They established some basic and useful results under Torse-forming infinistesimal transformation. The object of present paper is to study the Torse-forming infinitesimal transformation for cartan’s curvature. We have established the condition under which Cartan’s curvature generates non-flat space under aforesaid Torse-forming infinitesimal transformation. Some useful results have been investigated in the paper.
Finceler space, Cartan’s Curvatue, Torse-forming Transformation
Dr. Shiv Prakash Mishra; Sukh Raj Singh, Finsler Space Admiting Torse-Forming Vector Field, HCTL Open International Journal of Technology Innovations and Research (IJTIR), Volume 14, April 2015, eISSN: 2321-1814, ISBN (Print): 978-1-62951-946-3.