Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds

In this short note, we review some known results on the structure and regularity of spaces with lower Ricci curvature bounds. We present some known and new open questions about the next steps.

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
ISSN:1815-0659
Main Author: Naber, Aaron
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211016
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds. Aaron Naber. SIGMA 16 (2020), 104, 8 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Naber, Aaron
author_facet Naber, Aaron
citation_txt Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds. Aaron Naber. SIGMA 16 (2020), 104, 8 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description In this short note, we review some known results on the structure and regularity of spaces with lower Ricci curvature bounds. We present some known and new open questions about the next steps.
first_indexed 2026-03-21T10:37:42Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2026-03-21T10:37:42Z
publishDate 2020
publisher Інститут математики НАН України
record_format dspace
spelling Naber, Aaron
2025-12-22T09:29:13Z
2020
Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds. Aaron Naber. SIGMA 16 (2020), 104, 8 pages
1815-0659
2020 Mathematics Subject Classification: 53C21; 53C23
arXiv:2010.10031
https://nasplib.isofts.kiev.ua/handle/123456789/211016
https://doi.org/10.3842/SIGMA.2020.104
In this short note, we review some known results on the structure and regularity of spaces with lower Ricci curvature bounds. We present some known and new open questions about the next steps.
The second author was partially supported by the National Science Foundation Grant No. DMS1809011.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds
Article
published earlier
spellingShingle Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds
Naber, Aaron
title Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds
title_full Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds
title_fullStr Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds
title_full_unstemmed Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds
title_short Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds
title_sort conjectures and open questions on the structure and regularity of spaces with lower ricci curvature bounds
url https://nasplib.isofts.kiev.ua/handle/123456789/211016
work_keys_str_mv AT naberaaron conjecturesandopenquestionsonthestructureandregularityofspaceswithlowerriccicurvaturebounds