Quasiconformal mappings and curvatures on metric measure spaces
In an attempt to develop higher-dimensional quasiconformal mappings on metric measure spaces with curvature conditions, i.e. from Ahlfors to Alexandrov, we show that for n≥2 a noncollapsed RCD(0,n) space with Euclidean volume growth is an n-Loewner space and satisfies the infinitesimal-to-global pri...
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| Format: | Article |
| Language: | English |
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Odesa National University of Technology
2023-03-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2369 |
| _version_ | 1811159805266493440 |
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| author | Jialong Deng |
| author_facet | Jialong Deng |
| author_sort | Jialong Deng |
| collection | DOAJ |
| description | In an attempt to develop higher-dimensional quasiconformal mappings on metric measure spaces with curvature conditions, i.e. from Ahlfors to Alexandrov, we show that for n≥2 a noncollapsed RCD(0,n) space with Euclidean volume growth is an n-Loewner space and satisfies the infinitesimal-to-global principle. |
| first_indexed | 2024-04-10T05:48:25Z |
| format | Article |
| id | doaj.art-38a4374c8a7640f7a4e81327c1a4f633 |
| institution | Directory Open Access Journal |
| issn | 2072-9812 2409-8906 |
| language | English |
| last_indexed | 2024-04-10T05:48:25Z |
| publishDate | 2023-03-01 |
| publisher | Odesa National University of Technology |
| record_format | Article |
| series | Pracì Mìžnarodnogo Geometričnogo Centru |
| spelling | doaj.art-38a4374c8a7640f7a4e81327c1a4f6332023-03-05T07:59:14ZengOdesa National University of TechnologyPracì Mìžnarodnogo Geometričnogo Centru2072-98122409-89062023-03-01153-420321810.15673/tmgc.v15i3-4.23692369Quasiconformal mappings and curvatures on metric measure spacesJialong DengIn an attempt to develop higher-dimensional quasiconformal mappings on metric measure spaces with curvature conditions, i.e. from Ahlfors to Alexandrov, we show that for n≥2 a noncollapsed RCD(0,n) space with Euclidean volume growth is an n-Loewner space and satisfies the infinitesimal-to-global principle.https://journals.ontu.edu.ua/index.php/geometry/article/view/2369quasiconformal mappingquasi-symmetricrcd spacesinfinitesimal-to-global principle |
| spellingShingle | Jialong Deng Quasiconformal mappings and curvatures on metric measure spaces Pracì Mìžnarodnogo Geometričnogo Centru quasiconformal mapping quasi-symmetric rcd spaces infinitesimal-to-global principle |
| title | Quasiconformal mappings and curvatures on metric measure spaces |
| title_full | Quasiconformal mappings and curvatures on metric measure spaces |
| title_fullStr | Quasiconformal mappings and curvatures on metric measure spaces |
| title_full_unstemmed | Quasiconformal mappings and curvatures on metric measure spaces |
| title_short | Quasiconformal mappings and curvatures on metric measure spaces |
| title_sort | quasiconformal mappings and curvatures on metric measure spaces |
| topic | quasiconformal mapping quasi-symmetric rcd spaces infinitesimal-to-global principle |
| url | https://journals.ontu.edu.ua/index.php/geometry/article/view/2369 |
| work_keys_str_mv | AT jialongdeng quasiconformalmappingsandcurvaturesonmetricmeasurespaces |