Geometry and Iteration of Dianalytic Transformation

Mathematics – Complex Variables

Scientific paper

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Automation, Computers, Applied Mathematics, Volume 13, Number 1, 2004, ISBN 1221-437

Scientific paper

This paper is a continuation of the paper [5] dealing with dynamics of dianalytic transformations of nonorientable Klein surfaces. We are examining mainly the transformations of the real projective plane $P^{2}, $ whose orientable double cover is the Riemann sphere $\overline{C}$ . It is shown that the automorphisms of $P^{2}$ are projections of the rotations of \ $\overline{C}$ and some of the other dianalytic transformations of $P^{2}$ are projections of Blaschke products.

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