48 citations · 580 across the 51 of their papers we have counts for
6 papers · 1 filter
The contact geometry of the restricted 3-body problem
Peter Albers, Urs Frauenfelder, Otto van Koert +1
We show that the planar circular restricted three body problem is of restricted contact type for all energies below the first critical value (action of the first Lagrange point) an…
Periodic bounce orbits of prescribed energy
Peter Albers, Marco Mazzucchelli
We prove the existence of periodic bounce orbits of prescribed energy on an open bounded domain in Euclidean space. We derive explicit bounds on the period and the number of bounce…
Cup-length estimates for leaf-wise intersections
Peter Albers, Al Momin
We prove that on a restricted contact type hypersurface the number of leaf-wise intersections is bounded from below by a certain cup-length.
Spectral Invariants in Rabinowitz Floer homology and Global Hamiltonian perturbations
Peter Albers, Urs Frauenfelder
Spectral invariant were introduced in Hamiltonian Floer homology by Viterbo, Oh, and Schwarz. We extend this concept to Rabinowitz Floer homology. As an application we derive new q…
Rabinowitz Floer homology: A survey
Peter Albers, Urs Frauenfelder
Rabinowitz Floer homology is the semi-infinite dimensional Morse homology associated to the Rabinowitz action functional used in the pioneering work of Rabinowitz. Gradient flow li…
On a Theorem by Ekeland-Hofer
Peter Albers, Urs Frauenfelder
In [EH89, Theorem 1] Ekeland-Hofer prove that for a centrally symmetric, restricted contact type hypersurface in R^{2n} and for any global, centrally symmetric Hamiltonian perturba…