Induced deformed Finsler metric and deformed non-linear connections

Document Type : Original Article

Authors

Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran

Abstract

‎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.

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