Upper bounds on the diameter for Finsler manifolds with weighted Ricci curvature

Y. Soylu
2018 Miskolc Mathematical Notes  
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.
doi:10.18514/mmn.2018.2492 fatcat:kh5z7p5ksjeyddky2rtuipiaaq