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- W4288889610 abstract "Ballmann's Rank Rigidity Conjecture predicts that a CAT(0) space of higher rank with a geometric group action is rigid -- isometric to a Riemannian symmetric space, a Euclidean building, or splits as a direct product. We confirm this conjecture in rank 2. For CAT(0) spaces of higher rank $ngeq 2$ we prove rigidity if the space contains a periodic $n$-flat and every complete geodesic lies in some $n$-flat. This does not require a geometric group action." @default.
- W4288889610 created "2022-07-31" @default.
- W4288889610 creator A5015958230 @default.
- W4288889610 date "2022-02-04" @default.
- W4288889610 modified "2023-09-30" @default.
- W4288889610 title "CAT(0) spaces of higher rank" @default.
- W4288889610 doi "https://doi.org/10.48550/arxiv.2202.02302" @default.
- W4288889610 hasPublicationYear "2022" @default.
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