A Toponogov type triangle comparison theorem in Finsler geometry
arXiv:1205.3913
Abstract
The aim of this article is to establish a Toponogov type triangle comparison theorem for Finsler manifolds, in the manner of radial curvature geometry. We consider the situation that the radial flag curvature is bounded below by the radial curvature function of a non-compact surface of revolution, the edge opposite to the base point is contained in a Berwald-like region, and that the Finsler metric is convex enough in the radial directions in that region.
The version 2 was corrected as follows: we additionally assume G(ρ)\not= 0 in Theorem 1.2. And some other minor changes have been done in the version 2. 19 pages, no figures