Finsler conformal Lichnerowicz-Obata conjecture
Differential Geometry
2011-08-22 v2 Metric Geometry
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.
Keywords
Cite
@article{arxiv.0802.3309,
title = {Finsler conformal Lichnerowicz-Obata conjecture},
author = {Vladimir S. Matveev and Hans-Bert Rademacher and Marc Troyanov and Abdelghani Zeghib},
journal= {arXiv preprint arXiv:0802.3309},
year = {2011}
}
Comments
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