Construction of minimal non-invertible skew-product maps on 2-manifolds

Abstract

Applying the Hric-Jäger blow up technique, we give an affirmative answer to the question about the existence of non-invertible minimal circle-fibered self-maps of the Klein bottle. In addition, we present a simpler construction of a non-invertible minimal self-map of two dimensional torus.

9 pages, 1 figure, submitted