MMN-2492
Upper bounds on the diameter for Finsler manifolds with weighted Ricci curvature
Y. Soylu;Abstract
In this paper we obtain some Cheeger-Gromov-Taylor type compactness theorems for a forward complete and connected Finsler manifold of dimensional n≥2 via weighted Ricci curvatures. The proofs are based on the index form of a minimal unit speed geodesic segment, Bochner-Weitzenböck formula and Hessian comparison theorem.
Vol. 19 (2018), No. 2, pp. 1173-1184