On the structure of RCD spaces with upper curvature bounds
Abstract: We develop a structure theory for RCD spaces with curvature bounded above in Alexandrov sense. In particular, we show that any such space is a topological manifold with boundary whose interior is equal to the set of regular points. Further the set of regular points is a smooth manifold and is geodesically convex. Around regular points there are DC coordinates and the distance is induced by a continuous BV Riemannian metric
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Anmerkungen
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Mathematische Zeitschrift. - 301, 4 (2022) , 3469-3502, ISSN: 1432-1823
- Ereignis
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Veröffentlichung
- (wo)
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Freiburg
- (wer)
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Universität
- (wann)
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2024
- Urheber
- DOI
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10.1007/s00209-022-03015-6
- URN
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urn:nbn:de:bsz:25-freidok-2448541
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 11:03 MESZ
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Beteiligte
- Kapovitch, Vitali
- Kell, Martin
- Ketterer, Christian Eugen Michael
- Universität
Entstanden
- 2024
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