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

Hass, Joel; Rubinstein, J. H.

Mich. Math. J. 33, 155-168 (1986).

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

Keywords:

closed geodesics; Riemannian 2-manifolds; one-sided loops; double points