Lectures on Spaces of Nonpositive Curvature (eBook, PDF)
Werner Ballmann
eBook, PDF

Lectures on Spaces of Nonpositive Curvature (eBook, PDF)

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Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive curvature, have been of interest in many fields, including geometric (and combinatorial) group theory, topology, dynamical systems and probability theory. In the first two chapters of the book, a concise introduction into these spaces is given, culminating in the Hadamard-Cartan theorem and the discussion of the ideal boundary at infinity for simply connected complete spaces of nonpositive curvature. In the third chapter, qualitative properties of the geodesic flow on geodesically complete spaces of nonpositi...

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