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Surfaces with isometric geodesics
Published online by Cambridge University Press: 20 January 2009
Abstract
The aim of the paper is to prove the Theorem: Let M be a surface in the euclidean space E3 which is diffeomorphic to the sphere and suppose that all geodesies of M are congruent. Then M is a euclidean sphere.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 3 , October 1991 , pp. 359 - 362
- Copyright
- Copyright © Edinburgh Mathematical Society 1991
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