Abstract
Let X be a Hadamard manifold and let γ be an isometry on X. The function dγ on X defined by dγ(x): = d(x,γx) is called the di splacement function of γ. The displacement function dγ is convex, because d is convex on X × X.
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© 1985 Springer Science+Business Media New York
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Ballmann, W., Gromov, M., Schroeder, V. (1985). Individual isometries. In: Manifolds of Nonpositive Curvature. Progress in Mathematics, vol 61. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-9159-3_6
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DOI: https://doi.org/10.1007/978-1-4684-9159-3_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4684-9161-6
Online ISBN: 978-1-4684-9159-3
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