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math.DG2011
Focal rigidity of hyperbolic surfaces
Ferry Kwakkel
In this note, we consider the rigidity of the focal decomposition of closed hyperbolic surfaces. We show that, generically, the focal decomposition of a closed hyperbolic surface d…
math.DG2011
Focal Rigidity of Flat Tori
Ferry Kwakkel, Marco Martens, Mauricio Peixoto
Given a closed Riemannian manifold (M, g), there is a partition Σ_i of its tangent bundle TM called the focal decomposition. The sets Σ_i are closely associated to focusing of geod…