Behavior of Distant Maximal Geodesics in Finitely Connected Complete 2 Dimensional Riemannian Manifolds (Memoirs of the American Mathematical Society) MEMO/108/517
ISBN-13:
9780821825785
ISBN-10:
082182578X
Author:
Takashi Shioya
Publication date:
1994
Publisher:
Amer Mathematical Society
Format:
Paperback
73 pages
FREE US shipping
Book details
ISBN-13:
9780821825785
ISBN-10:
082182578X
Author:
Takashi Shioya
Publication date:
1994
Publisher:
Amer Mathematical Society
Format:
Paperback
73 pages
Summary
Behavior of Distant Maximal Geodesics in Finitely Connected Complete 2 Dimensional Riemannian Manifolds (Memoirs of the American Mathematical Society) MEMO/108/517 (ISBN-13: 9780821825785 and ISBN-10: 082182578X), written by authors
Takashi Shioya, was published by Amer Mathematical Society in 1994.
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Description
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.
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