University of Mohaghegh Ardabili Journal of Finsler Geometry and its Applications 2783-0500 7 1 2026 05 01 Projectively flat Finsler spaces with some special transformed metrics 66 81 4234 10.22098/jfga.2025.17669.1164 EN P. K. Dwivedi Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya(U.P.), India-224001 Sachin Kumar Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya(U.P.), India-224001 Ashish Kumar Pandey Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya(U.P.), India-224001 C. K. Mishra Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya(U.P.), India-224001 Journal Article 2025 06 16 In this research paper, we have considered the various type of β-change in Finsler metric F such as square change Finsler metric, cubic change Finsler metric, quartic change Finsler metric and obtained fundamental metric tensor, Cartan's tensor of these metrics. Further, we obtained the necessary and sufficient conditions under which said metrics are projectively flat and also given a example to support our results. Cartan's tensor Fundamental metric tensor β change in Finsler metric projective flatness https://jfga.uma.ac.ir/article_4234_d4562539575b4bed5ae7044e4d48fc1f.pdf