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- W2969573452 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." @default.
- W2969573452 created "2019-08-29" @default.
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- W2969573452 date "2019-08-19" @default.
- W2969573452 modified "2023-09-27" @default.
- W2969573452 title "On the structure of RCD spaces with upper curvature bounds" @default.
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