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Surfaces with isometric geodesics

Published online by Cambridge University Press:  20 January 2009

C. Charitos  and
P. Pamfilos
C. Charitos
Affiliation:
University of CreteDepartment Of MathematicsIraklion P.O. Box 470Greece
P. Pamfilos
Affiliation:
University of CreteDepartment Of MathematicsIraklion P.O. Box 470Greece
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Abstract

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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

References

REFERENCES

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