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math.MG2006
The de Rham decomposition theorem for metric spaces
Thomas Foertsch, Alexander Lytchak
We generalize the classical de Rham decomposition theorem for Riemannian manifolds to the setting of geodesic metric spaces of finite dimension.
math.MG2006★ 4 cited
Hyperbolicity, CAT(-1)-spaces and the Ptolemy Inequality
Thomas Foertsch, Viktor Schroeder
Using a four points inequality for the boundary of CAT(-1)-spaces, we study the relation between Gromov hyperbolic spaces and CAT(-1)-spaces.