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.

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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2020
Автор: Honda, Shouhei
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2020
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/210589
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Резюме: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.
ISSN:1815-0659