Behavior of Distant Maximal Geodesics in Finitely Connected...

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Behavior of Distant Maximal Geodesics...

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

Name: Behavior of Distant Maximal Geodesics in Finitely Connected Complete 2 Dimensional Riemannian Manifolds
ISBN: 9780821825785

Takashi Shioya

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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.

Категории:

Mathematics

Година:

1994

Издателство:

Amer Mathematical Society

Език:

english

Страници:

ISBN 10:

082182578X

ISBN 13: