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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.DG2014
A Frobenius Theorem for Corank-1 Continuous Distributions in Dimensions two and three
Stefano Luzzatto, Sina Tureli, Khadim War
We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integrability of corank-1 continuous distributions in dimensions three or less. This ge…