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

2002/08/19 by Tobias H. Colding, Colding, Tobias H., Nancy Hingston +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.math/0208133

arxiv created 2002/08/19 · arxiv updated 2009/11/30

Abstract

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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