Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 7 4 2026 10 01 Induced deformed Finsler metric and deformed non-linear connections 455 466 5867 10.22060/ajmc.2025.23772.1304 EN Yousef Alipour Fakhri Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran 0000-0002-7085-2896 Mehdi Jafari Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran Elham Meihami Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran Journal Article 2024 12 29 In this paper, we study induced deformed non linear connections on Finsler sub-manifolds and prove that every non linear connection on a Finslerian sub-manifold is an induced deformed non-linear connection. In addition, we provide some conditions under which Finslerian sub-manifolds are Landsbergian manifolds. Induced non-linear connection Deformed non-linear connection Deformed Finsler metric Finsler submanifold https://ajmc.aut.ac.ir/article_5867_fc9e62695def29ccdb9eb3fed5b4c8c8.pdf