Finsler conformal Lichnerowicz-Obata conjecture
  We prove the Finsler analog of the conformal Lichnerowicz-Obata conjecture showing that a complete and essential conformal vector field on a non-Riemannian Finsler manifold is a homothetic vector field of a Minkowski metric. 
Vladimir S. Matveev, Hans-Bert Rademacher, Marc Troyanov, and   Abdelghani Zeghib