15 citations · 28 across the 17 of their papers we have counts for
3 papers · 1 filter
Topological entropy of minimal geodesics and volume growth on surfaces
Gerhard Knieper, Carlos Ogouyandjou, Jan Philipp Schröder
Let (M,g) be a compact Riemannian manifold of hyperbolic type, i.e M is a manifold admitting another metric of strictly negative curvature. In this paper we study the geodesic flow…
Noncompact asymptotically harmonic manifolds
Gerhard Knieper, Norbert Peyerimhoff
In this article we consider asymptotically harmonic manifolds which are simply connected complete Riemannian manifolds without conjugate points such that all horospheres have the s…
Noncompact harmonic manifolds
Gerhard Knieper, Norbert Peyerimhoff
The Lichnerowicz conjecture asserts that all harmonic manifolds are either flat or locally symmetric spaces of rank 1. This conjecture has been proved by Z.I. Szabo for harmonic ma…