Stability of isoperimetric and Sobolev inequalities for excluded exponents on Riemannian manifolds
Quasi-isometries are a versatile type of maps that preserve the large-scale geometry of spaces, while introducing significant local distortions. Following Kanai’s work, which established the invariance of various analytic and geometric properties under quasiisometries, this paper generalizes isoperi...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:biblosearchi::4644620a82515a73fd008b935ad1d8e4 |
| Acceso en línea: | https://hdl.handle.net/10486/764200 https://dx.doi.org/10.1007/s13163-026-00571-x |
| Access Level: | acceso abierto |
| Palabra clave: | Sobolev inequalities isoperimetric inequalities quasi-isometries Riemannian manifolds Matemáticas |
| Sumario: | Quasi-isometries are a versatile type of maps that preserve the large-scale geometry of spaces, while introducing significant local distortions. Following Kanai’s work, which established the invariance of various analytic and geometric properties under quasiisometries, this paper generalizes isoperimetric and Sobolev inequalities for exponents less than the manifold’s dimension, proving both that they are equivalent and preserved by quasi-isometries |
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