Isoperimetric inequality for Finsler manifolds with non-negative Ricci curvature

Davide Manini

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arXiv · 2212.05130

Isoperimetric inequality for Finsler manifolds with non-negative Ricci curvature

Davide Manini

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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.

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Davide Manini. 2022-12-09. Isoperimetric inequality for Finsler manifolds with non-negative Ricci curvature. https://arxiv.org/abs/2212.05130

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