Isoperimetric inequality on Finsler metric measure manifolds with non-negative weighted Ricci curvature
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918089063399424 |
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| author | Cheng, Xinyue Feng, Yalu Liu, Liulin |
| author_facet | Cheng, Xinyue Feng, Yalu Liu, Liulin |
| contents | In this paper, we define the volume entropy and the second Cheeger constant and prove a sharp isoperimetric inequality involving the volume entropy on Finsler metric measure manifolds with non-negative weighted Ricci curvature ${\rm Ric}_{\infty}$. As an application, we prove a Cheeger-Buser type inequality for the first eigenvalue of Finsler Laplacian by using the volume entropy and the second Cheeger constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08571 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isoperimetric inequality on Finsler metric measure manifolds with non-negative weighted Ricci curvature Cheng, Xinyue Feng, Yalu Liu, Liulin Differential Geometry 53C60, 53B40, 58C35 In this paper, we define the volume entropy and the second Cheeger constant and prove a sharp isoperimetric inequality involving the volume entropy on Finsler metric measure manifolds with non-negative weighted Ricci curvature ${\rm Ric}_{\infty}$. As an application, we prove a Cheeger-Buser type inequality for the first eigenvalue of Finsler Laplacian by using the volume entropy and the second Cheeger constant. |
| title | Isoperimetric inequality on Finsler metric measure manifolds with non-negative weighted Ricci curvature |
| topic | Differential Geometry 53C60, 53B40, 58C35 |
| url | https://arxiv.org/abs/2507.08571 |