Dynamics of dianalytic transformations of Klein surfaces

Title:

Dynamics of dianalytic transformations of Klein surfaces

Creator:

Barza, Ilie and Ghisa, Dorin

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a98ca70b-87f6-40ca-bc2c-c02964d1fa14
uuid:a98ca70b-87f6-40ca-bc2c-c02964d1fa14
doi:10.21136/MB.2004.133904

Subject:

nonorientable Klein surface, dianalytic self-map, Julia set, Fatou set, and dianalytic dynamics

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

129-140

Source:

Mathematica bohemica | 2004 Volume:129 | Number:2

Harvested from:

CDK

Metadata only:

false