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math.DG2020
Fold maps associated to geodesic random walks on non-positively curved manifolds
Pablo Lessa, Lucas Oliveira
We study a family of mappings from the powers of the unit tangent sphere at a point to a complete Riemannian manifold with non-positive sectional curvature, whose behavior is relat…
math.DG2013
Reeb stability and the Gromov-Hausdorff limits of leaves in compact foliations
Pablo Lessa
We show that the Gromov-Hausdorff limit of a sequence of leaves in a compact foliation is a covering space of the limiting leaf which is no larger than this leaf's holonomy cover.…