Main Behavior of Distant Maximal Geodesics in Finitely Connected Complete 2 Dimensional Riemannian Manifolds

Behavior of Distant Maximal Geodesics in Finitely Connected Complete 2 Dimensional Riemannian Manifolds

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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.
Request Code : ZLIBIO1207161
Categories:
Year:
1994
Publisher:
Amer Mathematical Society
Language:
English
Pages:
73
ISBN 10:
082182578X
ISBN 13:
9780821825785
ISBN:
082182578X,9780821825785
Series:
Memoirs of the American Mathematical Society

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