By Takashi Shioya

This monograph reviews the topological shapes of geodesics outdoors a wide compact set in a finitely attached, whole, and noncompact floor admitting overall curvature. whilst the floor is homeomorphic to a aircraft, all such geodesics behave like these of a flat cone. specifically, the rotation numbers of the geodesics are managed by means of the complete curvature. available to newcomers in differential geometry, but additionally of curiosity to experts, this monograph positive factors many illustrations that increase realizing of the most rules.

**Read Online or Download Behavior of Distant Maximal Geodesics in Finitely Connected Complete 2 Dimensional Riemannian Manifolds (Memoirs of the American Mathematical Society) MEMO/108/517 PDF**

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