00862nas a2200097 4500008004100000245008500041210006900126520043600195100001900631856011400650 2022 eng d00aIsoperimetric inequality for Finsler manifolds with non-negative Ricci curvature0 aIsoperimetric inequality for Finsler manifolds with nonnegative 3 a

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.

1 aManini, Davide uhttps://www.math.sissa.it/publication/isoperimetric-inequality-finsler-manifolds-non-negative-ricci-curvature