Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
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| Publicado en: | Transactions of the London Mathematical Society vol. 12, no. 1 (Dec 1, 2025) |
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John Wiley & Sons, Inc.
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| Acceso en línea: | Citation/Abstract Full Text Full Text - PDF |
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| Resumen: | We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their boundary. The construction of these spaces is inspired from the geometry of the α$\alpha$‐Grushin plane. |
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| ISSN: | 2052-4986 |
| DOI: | 10.1112/tlm3.70017 |
| Fuente: | Engineering Database |