Jin-ichi Itoh, Fumiko Ohtsuka and Tudor Zamfirescu: Some remarks on simple closed geodesics of surfaces with ends, p.311-319

Abstract:

If a non-compact complete surface $M$ is not homeomorphic to a subset of the plane or of the projective plane, then it has infinitely many simple closed geodesics [7]. In this paper, we consider simple closed geodesics on a surface homeomorphic to such a subset.

Key Words: Simple closed geodesic, self-intersection.

2000 Mathematics Subject Classification: Primary: 53C22,
Secondary: 53C45.

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