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Integral curvature bounds and diameter estimates on Finsler manifolds
Authors:Zhao  Wei
Institution:1.Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China
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Abstract:In this paper, we study the integrals of the Ricci curvature over metric balls in a Finsler manifold,which can be viewed as an L~q-norm of the Ricci curvature. By bounding such integrals from above, we obtain several Myers type theorems.
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