Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics

Details Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics

2002-08-19

arxiv.org/abs/math/0208133v1

Mathematics

Differential Geometry

Scientific paper

We give in this paper bounds for the Morse indices of a large class of simple
geodesics on a surface with a generic metric. To our knowledge these bounds are
the first that use only the generic hypothesis on the metric.

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