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Isoperimetric inequality for Finsler manifolds with non-negative Ricci curvature

TitleIsoperimetric inequality for Finsler manifolds with non-negative Ricci curvature
Publication TypePreprint
2022
AuthorsManini, D

We prove a sharp isoperimetric inequality for Finsler manifolds having non-negative Ricci curvature and Euclidean volume growth. We also prove a rigidity result for this inequality, under the additional hypotheses of boundedness of the isoperimetric set and the finite reversibility of the space.An application to the weighed anisotropic isoperimetric problem in Euclidean cones is presented.

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