An Extension Theorem for Weighted Ricci Curvature on Finsler Manifolds
Abstract
Let (M,F) be a forward complete and connected Finsler manifold of dimensional n ≥2 . In this study, we extend Wan’s extension theorem in Riemannian manifolds to Finsler manifolds by using the weighted Ricci curvature RicN bounded below. The proof of theorem is obtained by the Laplacian comparison theorem on Finsler manifolds and the excess function.
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References
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