8 citations · 17 across the 12 of their papers we have counts for
16 papers · 1 filter
Simple closed geodesics in dimensions
Hans-Bert Rademacher
We show that for a generic Riemannian or reversible Finsler metric on a compact differentiable manifold of dimension at least three all closed geodesics are simple and do not i…
Upper bounds for the critical values of homology classes of loops
Hans-Bert Rademacher
In this short note we discuss upper bounds for the critical values of homology classes in the based and free loop space of manifolds carrying a Riemannian or Finsler metric of posi…
Two short closed geodesics on a sphere of odd dimension
Hans-Bert Rademacher
We show that for an open and dense set non-reversible Finsler metrics on a sphere of odd dimension there is a second closed geodesic with Morse index $\le 4(m+2)(m-1…
The second closed geodesic, the fundamental group, and generic Finsler metrics
Hans-Bert Rademacher, Iskander A. Taimanov
For compact manifolds with infinite fundamental group we present sufficient topological or metric conditions ensuring the existence of two geometrically distinct closed geodesics.…
Solitons of the midpoint mapping and affine curvature
Christine Rademacher, Hans-Bert Rademacher
For a polygon in we consider the midpoints polygon We call a polygon a soliton of the midpoints…
Closed geodesics on connected sums and 3-manifolds
Hans-Bert Rademacher, Iskander A. Taimanov
We study the asymptotics of the number N(t) of geometrically distinct closed geodesics of a Riemannian or Finsler metric on a connected sum of two compact manifolds of dimension at…