24 citations · 90 across the 34 of their papers we have counts for
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math.DS2012
Counting arcs in negative curvature
Jouni Parkkonen, Frédéric Paulin
Let M be a complete Riemannian manifold with negative curvature, and let C_-, C_+ be two properly immersed closed convex subsets of M. We survey the asymptotic behaviour of the num…
math.DS2012★ 11 cited
Skinning measures in negative curvature and equidistribution of equidistant submanifolds
Jouni Parkkonen, Frédéric Paulin
Let C be a locally convex subset of a negatively curved Riemannian manifold M. We define the skinning measure on the outer unit normal bundle to C in M by pulling back the Patterso…