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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| 024 | 7 | |a 10.1112/tlm3.70017 |2 doi | |
| 035 | |a 3287937921 | ||
| 045 | 0 | |b d20251201 | |
| 100 | 1 | |a Borza, Samuël |u Faculty of Mathematics, University of Vienna, Vienna, Austria | |
| 245 | 1 | |a Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces | |
| 260 | |b John Wiley & Sons, Inc. |c Dec 1, 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a 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. | |
| 653 | |a Riemann manifold | ||
| 653 | |a Topological manifolds | ||
| 700 | 1 | |a Tashiro, Kenshiro |u Analysis on Metric Spaces Unit, Okinawa Institute of Science and Technology, Okinawa, Japan | |
| 773 | 0 | |t Transactions of the London Mathematical Society |g vol. 12, no. 1 (Dec 1, 2025) | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3287937921/abstract/embedded/KOLE7RPJVUKQAXRX?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text |u https://www.proquest.com/docview/3287937921/fulltext/embedded/KOLE7RPJVUKQAXRX?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3287937921/fulltextPDF/embedded/KOLE7RPJVUKQAXRX?source=fedsrch |