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.
Publisher
Cambridge University Press (CUP)
Reference5 articles.
1. Manifolds all of whose Geodesics are Closed
2. Analytic proofs of the hairy ball theorem;Milnor;Am. Math. Monthly,1978
Cited by
2 articles.
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1. Families of congruent curves and applications;Mathematika;1999-12
2. Open surfaces with congruent geodesics;Proceedings of the Edinburgh Mathematical Society;1995-02