On surfaces of constant astigmatism

Adam Hlaváč
Střední průmyslová škola chemická akademika Heyrovského, Ostrava, příspěvková organizace, Ostrava

Surfaces of constant astigmatism, i.e. surfaces characterized by a nonzero constant difference between the principal radii of curvature, were already known at the end of the nineteenth century. After a century of oblivion, they were resurrected during the systematic search for integrable classes of Weingarten surfaces. In the talk, an overview of recent results will be given. Several explicit examples of surfaces of constant astigmatism will also be shown.