Dynamics of dianalytic transformations of Klein surfaces
Mathematica Bohemica (2004)
- Volume: 129, Issue: 2, page 129-140
- ISSN: 0862-7959
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topBarza, Ilie, and Ghisa, Dorin. "Dynamics of dianalytic transformations of Klein surfaces." Mathematica Bohemica 129.2 (2004): 129-140. <http://eudml.org/doc/249387>.
@article{Barza2004,
abstract = {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.},
author = {Barza, Ilie, Ghisa, Dorin},
journal = {Mathematica Bohemica},
keywords = {nonorientable Klein surface; dianalytic self-map; Julia set; Fatou set; dianalytic dynamics; nonorientable Klein surface; dianalytic self-map; Julia set; Fatou set; dianalytic dynamics},
language = {eng},
number = {2},
pages = {129-140},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dynamics of dianalytic transformations of Klein surfaces},
url = {http://eudml.org/doc/249387},
volume = {129},
year = {2004},
}
TY - JOUR
AU - Barza, Ilie
AU - Ghisa, Dorin
TI - Dynamics of dianalytic transformations of Klein surfaces
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 2
SP - 129
EP - 140
AB - 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.
LA - eng
KW - nonorientable Klein surface; dianalytic self-map; Julia set; Fatou set; dianalytic dynamics; nonorientable Klein surface; dianalytic self-map; Julia set; Fatou set; dianalytic dynamics
UR - http://eudml.org/doc/249387
ER -
References
top- Riemann Surfaces, Princeton University Press, 1960. (1960) MR0114911
- 10.1007/BFb0060988, Lect. Notes Math. 219, Springer, 1971. (1971) MR0333163DOI10.1007/BFb0060988
- On the Morphisms of Klein Surfaces, Rev. Roum. Math. Pures Appl. 31 (1986), 461–470. (1986) Zbl0604.30054MR0856197
- The dianalytic morphisms of the Klein bottles, Lect. Notes Math, 1351, Springer, 1988, pp. 38–51. (1988) Zbl0658.30039MR0982071
- Some Remarks on the Nonorientable Surfaces, Publications de l’Institut Mathématique, Tome 63 (1998), 47–54. (1998) MR1633690
- Measure and integration on nonorientable Klein surfaces, Int. J. Pure Appl. Math. 1 (2002), 117–134. (2002) MR1900221
- Automorphism Groups of Compact Bordered Klein Surfaces, Lect. Notes Math. 1439, Springer, 1990. (1990) Zbl0709.14021MR1075411
- The Dynamics of Analytic Transformations, Lening. Math. J. 1 (1990), 563–634. (Russian, English) (1990) MR1015124
- Lectures on Riemann Surfaces, Springer, 1981. (1981) Zbl0475.30002MR0648106
- Lectures on Vector Bundles over Riemann Surfaces, Princeton Univ. Press, Princeton, 1967. (1967) Zbl0163.31903MR0230326
- Dynamics of Holomorphic Self-Maps of , Holomorphic Functions and Moduli I., Drasin, D. et al. (eds.), Springer, 1988, pp. 9–30. (1988) MR0955806
- Univalent Functions and Teichmüller Spaces, Springer, 1987. (1987) Zbl0606.30001MR0867407
- Dynamics in One Complex Variable, Vieweg, Wiesbaden, 1999. (1999) Zbl0946.30013MR1721240
- Complex Dynamics and Renormalization, Princeton University Press, Princeton, 1994. (1994) MR1312365
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