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most citedCAT(0) 4-manifolds are Euclidean

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math.DG2017

Conformal deformations of CAT(0) spaces

Alexander Lytchak, Stephan Stadler

We show that the class of CAT(0) spaces is closed under suitable conformal changes. In particular, any CAT(0) space admits a large variety of non-trivial deformations.