en عمومى General پژوهشي Research paper <div style="text-align: justify;">In this paper, we consider some special Finsler spaces obtained via Randers-&beta; change. First, we find the fundamental metric tensor and Cartan tensor of these metrics. Next, we establish a general formula for the inverse tensor of fundamental metric tensors of these metrics. Finally, we find the necessary and sufficient conditions under which these metrics are projectively flat, and we give examples to support our results.</div> (α,β)-metric, Randers-β change, Fundamental metric tensor, Cartan tensor, Projective flatness. 31 50 http://ijmsi.ir/browse.php?a_code=A-10-4540-1&slc_lang=en&sid=1 Gauree Shanker grshnkr2007@gmail.com 100319475328460010202 100319475328460010202 No Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, Bathinda, Punjab-151 401, India Sarita Rani saritas.ss92@gmail.com 100319475328460010203 100319475328460010203 Yes Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, Bathinda, Punjab-151 401, India Kirandeep Kaur kirandeepiitd@gmail.com 100319475328460010204 100319475328460010204 No Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, Bathinda, Punjab-151 401, India