3 papers
math.DG2023
Counting geodesic loops on surfaces of genus at least 2 without conjugate points
Mark Pollicott, Khadim War
In this paper we prove asymptotic estimates for closed geodesic loops on compact surfaces with no conjugate points. These generalize the classical counting results of Huber and Mar…
math.DS2023
Proof of the Verjovsky Conjecture
Khadim War
In this paper we present a proof of the Verjovsky conjecture: Every codimension-one Anosov flow on a manifold of dimension greater than three is topologically equivalent to the sus…
math.DS2014
Integrability of C^1 invariant splittings
Stefano Luzzatto, Sina Tureli, Khadim War
We derive some new conditions for integrability of dynamically defined C^1 invariant splittings in arbitrary dimension and co-dimension. In particular we prove that every 2-dimensi…