Generalized axial maps and Euclidean immersions of lens spaces

This 15-page paper, with Luis Astey and Jesus Gonzalez, appeared in Boletin Matematica Mexicana 9 (2003) 151-163.

Abstract Generalized axial maps are introduced and related to the immersion problem for 2-torsion lens spaces to produce a characterization of this problem in the metastable range. A direct analysis gives a complete solution of the immersion problem for the missing cases. Other variations of the problem, which extend classical constructions for projective spaces, are discussed.

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