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math.DG2011★ 2 cited
Real Analytic Metrics on S^2 with Total Absence of Finite Blocking
Marlies Gerber, Lihuei Liu
If (M,g) is a Riemannian manifold and x,y are points in M, then a subset P of M\{x,y} is said to be a blocking set for (x,y) if every geodesic from x to y passes through a point of…
math.DG2010★ 1 cited
A dense G-delta set of Riemannian metrics without the finite blocking property
Marlies Gerber, Wah-Kwan Ku
A pair of points (x,y) in a Riemannian manifold (M,g) is said to have the finite blocking property if there is a finite set P contained in M\{x,y} such that every geodesic segment…