Precise volume estimates in nonpositive curvature

  • Roland Gunesch (Universität Leipzig)
A3 01 (Sophus-Lie room)


We show that on a compact rank one manifold of nonpositive curvature the volume of spheres (hence also that of balls) has an exact asymptotic; it is purely exponential, and the growth rate equals the topological entropy.

Katharina Matschke

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