Finsler conformal Lichnerowicz-Obata conjecture

Abstract

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.

13 pages, 2 figures; the new version has only minor changes with respect to v1, and is the version that will be published in Annales de L'Institut Fourier

Cited by in corpus (1)

• Two-axes pseudo-Finsleroid metrics: general overview and angle-regular solution