Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908520399503360 |
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| author | De Rosa, Antonio Neumayer, Robin |
| author_facet | De Rosa, Antonio Neumayer, Robin |
| contents | Local minimizers for the anisotropic isoperimetric problem in the small-volume regime on closed Riemannian manifolds are shown to be geodesically convex and small smooth perturbations of tangent Wulff shapes, quantitatively in terms of the volume. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_04565 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds De Rosa, Antonio Neumayer, Robin Analysis of PDEs Differential Geometry 35D30, 49Q05, 49Q20, 53A10 Local minimizers for the anisotropic isoperimetric problem in the small-volume regime on closed Riemannian manifolds are shown to be geodesically convex and small smooth perturbations of tangent Wulff shapes, quantitatively in terms of the volume. |
| title | Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds |
| topic | Analysis of PDEs Differential Geometry 35D30, 49Q05, 49Q20, 53A10 |
| url | https://arxiv.org/abs/2308.04565 |