2 papers
math.DG2024
A quantitative closing Lemma and Partner orbits on Riemannian manifolds with negative curvature
Michela Egidi, Gerhard Knieper
In this paper we prove a quantitative closing Lemma for manifolds of negative sectional curvature. As an application we study partner and pseudo-partner orbits for self-crossing cl…
math.DG2014
Harmonic functions on rank one asymptotically harmonic manifolds
Gerhard Knieper, Norbert Peyerimhoff
Asymptotically harmonic manifolds are simply connected complete Riemannian manifolds without conjugate points such that all horospheres have the same constant mean curvature . I…