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One-sided closed geodesics on surfaces. (English) Zbl 0614.53035

The authors study one-sided closed geodesics on closed Riemannian 2- manifolds and their intersection properties. Although features of one- sided loops can differ significantly from two-sided curves, it is shown that shortest one-sided closed geodesics still minimize the number of double points in their intersection sets.
Reviewer: K.Grove

MSC:

53C22 Geodesics in global differential geometry
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