Mehdi Jafari

Induced deformed Finsler metric and deformed non-linear connections

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-manifo...

The Sobolev inequalities along the Ricci-Bourguignon flow and applications

‎Consider a closed Riemannian manifold $M$ where the metrics $g(t)$ evolve by the Ricci-Bourguignon flow (RBF)‎.‎The paper first derives a Sobolev inequality along the RBF‎. ‎Then‎, ‎by applying this‎ ‎Sobolev inequality we obtain a linear parabolic estimate and an upper bound es...