On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ²
We use recent developments by Gromov and Zhu to derive an upper bound for the 2-systole of the homology class of ² × {∗} in a ² × ² with a positive scalar curvature metric such that the set of surfaces homologous to ² × {∗} is wide enough in some sense.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211083 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ². Thomas Richard. SIGMA 16 (2020), 136, 7 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862550489035440128 |
|---|---|
| author | Richard, Thomas |
| author_facet | Richard, Thomas |
| citation_txt | On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ². Thomas Richard. SIGMA 16 (2020), 136, 7 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We use recent developments by Gromov and Zhu to derive an upper bound for the 2-systole of the homology class of ² × {∗} in a ² × ² with a positive scalar curvature metric such that the set of surfaces homologous to ² × {∗} is wide enough in some sense.
|
| first_indexed | 2026-03-13T03:51:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211083 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T03:51:12Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Richard, Thomas 2025-12-23T13:11:53Z 2020 On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ². Thomas Richard. SIGMA 16 (2020), 136, 7 pages 1815-0659 2020 Mathematics Subject Classification: 53C42; 53C20 arXiv:2007.02705 https://nasplib.isofts.kiev.ua/handle/123456789/211083 https://doi.org/10.3842/SIGMA.2020.136 We use recent developments by Gromov and Zhu to derive an upper bound for the 2-systole of the homology class of ² × {∗} in a ² × ² with a positive scalar curvature metric such that the set of surfaces homologous to ² × {∗} is wide enough in some sense. The author would like to thank G. Besson, S. Maillot, and S. Sabourau for helpful discussions. He also thanks Jintian Zhu and the anonymous referees for pointing out inaccuracies in a previous version of this work. The author is supported by the grant ANR-17-CE40-0034 of the French National Research Agency ANR (Project CCEM). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ² Article published earlier |
| spellingShingle | On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ² Richard, Thomas |
| title | On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ² |
| title_full | On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ² |
| title_fullStr | On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ² |
| title_full_unstemmed | On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ² |
| title_short | On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on ² × ² |
| title_sort | on the 2-systole of stretched enough positive scalar curvature metrics on ² × ² |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211083 |
| work_keys_str_mv | AT richardthomas onthe2systoleofstretchedenoughpositivescalarcurvaturemetricson22 |