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.
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