1. Dynamics of dianalytic transformations of Klein surfaces
- Creator:
- Barza, Ilie and Ghisa, Dorin
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- nonorientable Klein surface, dianalytic self-map, Julia set, Fatou set, and dianalytic dynamics
- Language:
- English
- Description:
- This paper is an introduction to dynamics of dianalytic self-maps of nonorientable Klein surfaces. The main theorem asserts that dianalytic dynamics on Klein surfaces can be canonically reduced to dynamics of some classes of analytic self-maps on their orientable double covers. A complete list of those maps is given in the case where the respective Klein surfaces are the real projective plane, the pointed real projective plane and the Klein bottle.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public