Un Lemme de Morse pour les surfaces convexes

Details Un Lemme de Morse pour les surfaces convexes Un Lemme de Morse pour les surfaces convexes

1999-07-08

arxiv.org/abs/math/9907051v1

Mathematics

Differential Geometry

En francais, for a mysterious reason the first page is blank

Scientific paper

10.1007/s002220000069

We describe the "hyperbolic" properties of a riemann surface lamination M canonically associated to every compact three manifolds of curvature less than 1. More precisely, if the geodesic flow is the phase space attached to an ordinary differential equation, our space M is the "phase space" attached to a certain elliptic equation, which geometrically describes surfaces of constant Gauss-Kronecker curvature k (k-surfaces), 0

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