Singular Spaces of Non-Positive Curvature

  • Werner Ballmann
Part of the Progress in Mathematics book series (PM, volume 83)


In [Gr5] Gromov explains the definition of upper curvature bounds for singular spaces, a concept which goes back to A.D. Aleksandrov, cf. [ABN]. Below is a discussion of this material. The main application is a criterion for the hyperbolicity of certain simply connected polyhedra.


Homotopy Class Geodesic Segment Interior Angle Constant Sectional Curvature Geodesic Space 
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© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Werner Ballmann

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