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

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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… Click to show full 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. 2010 Mathematics Subject Classification: 53C60; 53B40

Keywords: diameter finsler; bounds diameter; finsler manifolds; upper bounds; finsler; weighted ricci

Journal Title: Miskolc Mathematical Notes
Year Published: 2018

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