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Memoirs of the American Mathematical Society
1994; 73 pp; softcover
List Price: US$37
Individual Members: US$22.20
Institutional Members: US$29.60
Order Code: MEMO/108/517
This monograph studies the topological shapes of geodesics outside a large compact set in a finitely connected, complete, and noncompact surface admitting total curvature. When the surface is homeomorphic to a plane, all such geodesics behave like those of a flat cone. In particular, the rotation numbers of the geodesics are controlled by the total curvature. Accessible to beginners in differential geometry, but also of interest to specialists, this monograph features many illustrations that enhance understanding of the main ideas.
Graduate students studying differential geometry for the first time as well as specialists in the field.
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