Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces
In this short note, we provide several conjectures on the regularity of measured Gromov-Hausdorff limit spaces of Riemannian manifolds with Ricci curvature bounded below, from the point of view of the synthetic treatment of lower bounds on Ricci curvature for metric measure spaces.
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2020 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210589 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces. Shouhei Honda. SIGMA 16 (2020), 021, 10 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730322873942016 |
|---|---|
| author | Honda, Shouhei |
| author_facet | Honda, Shouhei |
| citation_txt | Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces. Shouhei Honda. SIGMA 16 (2020), 021, 10 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this short note, we provide several conjectures on the regularity of measured Gromov-Hausdorff limit spaces of Riemannian manifolds with Ricci curvature bounded below, from the point of view of the synthetic treatment of lower bounds on Ricci curvature for metric measure spaces.
|
| first_indexed | 2025-12-17T12:04:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210589 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-17T12:04:17Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Honda, Shouhei 2025-12-12T10:32:07Z 2020 Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces. Shouhei Honda. SIGMA 16 (2020), 021, 10 pages 1815-0659 2020 Mathematics Subject Classification: 53C20; 53C21; 53C23 arXiv:2002.08612 https://nasplib.isofts.kiev.ua/handle/123456789/210589 https://doi.org/10.3842/SIGMA.2020.021 In this short note, we provide several conjectures on the regularity of measured Gromov-Hausdorff limit spaces of Riemannian manifolds with Ricci curvature bounded below, from the point of view of the synthetic treatment of lower bounds on Ricci curvature for metric measure spaces. The author acknowledges support of the Grant-in-Aid for Young Scientists (B) 16K17585 and Grant-in-Aid for Scientific Research (B) of 18H01118. He would like to express his appreciation to the referees for their valuable suggestions on the first version, which made the paper more readable. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces Article published earlier |
| spellingShingle | Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces Honda, Shouhei |
| title | Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces |
| title_full | Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces |
| title_fullStr | Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces |
| title_full_unstemmed | Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces |
| title_short | Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces |
| title_sort | collapsed ricci limit spaces as non-collapsed rcd spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210589 |
| work_keys_str_mv | AT hondashouhei collapsedriccilimitspacesasnoncollapsedrcdspaces |