Isoperimetric inequality for Finsler manifolds withnon-negative Ricci curvature

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.Comment: 45 pages, a4paper. arXiv admin note: text overlap with arXiv:2207.0342