Isoperimetric inequality for Finsler manifolds with non-negative Ricci curvature
Davide Manini
Technion–Israel Institute of Technology, Haifa, Israel
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Abstract
We prove a sharp isoperimetric inequality for measured 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. As a consequence, we deduce the rigidity of the weighted anisotropic isoperimetric inequality for cones in the Euclidean space, in the irreversible setting.
Cite this article
Davide Manini, Isoperimetric inequality for Finsler manifolds with non-negative Ricci curvature. Rev. Mat. Iberoam. (2024), published online first
DOI 10.4171/RMI/1488