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Open surfaces with congruent geodesics
Published online by Cambridge University Press: 20 January 2009
Abstract
The aim of this paper is to prove the Theorem: Let M be a complete non compact surface without boundary in the euclidean space 3. We suppose that all geodesies of M are congruent. Then M is an affine plane in 3.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 1 , February 1995 , pp. 179 - 183
- Copyright
- Copyright © Edinburgh Mathematical Society 1995