15 citations · 28 across the 17 of their papers we have counts for
4 papers · 1 filter
Geodesic stretch, pressure metric and marked length spectrum rigidity
Colin Guillarmou, Gerhard Knieper, Thibault Lefeuvre
We refine the recent local rigidity result for the marked length spectrum obtained by the first and third author in \cite{Guillarmou-Lefeuvre-18} and give an alternative proof usin…
The Fourier transform on harmonic manifolds of purely exponential volume growth
Kingshook Biswas, Gerhard Knieper, Norbert Peyerimhoff
Let be a complete, simply connected harmonic manifold of purely exponential volume growth. This class contains all non-flat harmonic manifolds of non-positive curvature and, in…
Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces
Gerhard Knieper, John R. Parker, Norbert Peyerimhoff
In this article we consider solvable hypersurfaces of the form with induced metrics in the symmetric space $M = SL(3,\C)/SU(3)$, where a suitable unit length vec…
Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points
Vaughn Climenhaga, Gerhard Knieper, Khadim War
We prove that for closed surfaces with Riemannian metrics without conjugate points and genus the geodesic flow on the unit tangent bundle has a unique measure o…