Abstract
One of our main objectives in this chapter is the discussion of transitivity properties of the geodesic flow and related topics. The first two sections are greatly influenced by the work of Eberlein on geodesic flows in [Eb2, Eb3]. The third section deals with the main results of the author’s thesis (published in [Ba1]), but here in the context of Hadamard spaces instead of Hadamard manifolds. The fourth section deals with applications to harmonic functions and random walks on countable groups, compare [Ba3, BaL1]. Many of the ideas in Section 4 go back to Furstenberg [Fu1, Fu2, Fu3].
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© 1995 Birkhäuser Verlag
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Ballmann, W. (1995). Weak Hyperbolicity. In: Lectures on Spaces of Nonpositive Curvature. DMV Seminars, vol 25. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9240-7_4
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DOI: https://doi.org/10.1007/978-3-0348-9240-7_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-5242-4
Online ISBN: 978-3-0348-9240-7
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