7 citations · 8 across the 3 of their papers we have counts for
4 papers
Construction and upper bound on the minimum genus of an embedded surface with Anosov geodesic flow
Victor Donnay, Daniel Visscher
We create examples of smooth, compact surfaces in for which the geodesic flow is Anosov. We determine their genus, thereby giving a (non-sharp) upper bound for the minimal ge…
A new proof of the existence of embedded surfaces with Anosov geodesic flow
Victor Donnay, Daniel Visscher
We give a new proof of the existence of compact surfaces embedded in with Anosov geodesic flows. This proof starts with a non-compact model surface whose geodesic flow is sho…
Equilibrium measures for certain isometric extensions of Anosov systems
Ralf Spatzier, Daniel Visscher
We prove that for the frame flow on a negatively curved, closed manifold of odd dimension other than 7, and a Holder continuous potential that is constant on fibers, there is a uni…
An elementary proof of Franks' lemma for geodesic flows
Daniel Visscher
Given a Riemannian manifold and a geodesic , the perpendicular part of the derivative of the geodesic flow along is a linear symplectic ma…