Isoperimetric inequality for Finsler manifolds with non-negative Ricci curvature

Davide Manini ^[1]
1. [1] Technion–Israel Institute of Technology, Haifa, Israel
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 5, 2024, págs. 1631-1690
Idioma: inglés
DOI: 10.4171/RMI/1488
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Resumen
- 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.