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20172026
most citedCAT(0) 4-manifolds are Euclidean

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math.DG2018

Ricci curvature in dimension 2

Alexander Lytchak, Stephan Stadler

We prove that in two dimensions the synthetic notions of lower bounds on sectional and on Ricci curvature coincide.

math.DG2018

The structure of minimal surfaces in CAT(0) spaces

Stephan Stadler

We prove that a minimal disc in a CAT(0) space is a local embedding away from a finite set of "branch points". On the way we establish several basic properties of minimal surfaces:…