Bewegte Bilder
Limits of Riemannian manifolds satisfying a uniform Kato condition
I will present a joint work with G. Carron and I. Mondello where we study Kato limit spaces. These are metric measure spaces obtained as Gromov-Hausdorff limits of smooth n-dimensional Riemannian manifolds with Ricci curvature satisfying a uniform Kato-type condition. In this context, strictly wider than the ones of Ricci limit spaces (where the Ricci curvature satisfies a uniform lower bound) and Lp-Ricci limit spaces (where the Ricci curvature is uniformly bounded in Lp for some pn/2), we extend classical results of Cheeger, Colding and Naber, like the fact that under a non-collapsing assumption, every tangent cone is a metric measure cone. I will present these results and explain how we rely upon a new heat-kernel based almost monotone quantity to derive them.
- Standort
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Hannover TIB
- Umfang
-
722MB, 01:08:00:19 (unknown)
- Sprache
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Englisch
- Anmerkungen
-
Audiovisuelles Material
- Erschienen in
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Summer School 2021 - Curvature Constraints and Spaces of Metrics ; (Jan. 2021)
- Ereignis
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Veröffentlichung
- (wer)
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Institut Fourier
- (wann)
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2021-01-01
- Beteiligte Personen und Organisationen
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Tewodrose, David
- DOI
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10.5446/66225
- Letzte Aktualisierung
- 21.04.2026, 10:49 MESZ
Datenpartner
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Objekttyp
- zweidimensionales bewegtes Bild
Beteiligte
- Tewodrose, David
- Institut Fourier
Entstanden
- 2021-01-01
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