Geodesic
Dynamics of dianalytic transformations of Klein surfaces
Mathematica Bohemica, Tome 129 (2004) no. 2, pp. 129-140
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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.
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.
DOI : 10.21136/MB.2004.133904
Classification : 30F50, 37F10, 37F50
Keywords: nonorientable Klein surface; dianalytic self-map; Julia set; Fatou set; dianalytic dynamics 
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Barza, Ilie; Ghisa, Dorin. Dynamics of dianalytic transformations of Klein surfaces. Mathematica Bohemica, Tome 129 (2004) no. 2, pp. 129-140. doi: 10.21136/MB.2004.133904

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