| Title:
|
Dynamics of dianalytic transformations of Klein surfaces (English) |
| Author:
|
Barza, Ilie |
| Author:
|
Ghisa, Dorin |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
129 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
129-140 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
nonorientable Klein surface |
| Keyword:
|
dianalytic self-map |
| Keyword:
|
Julia set |
| Keyword:
|
Fatou set |
| Keyword:
|
dianalytic dynamics |
| MSC:
|
30F50 |
| MSC:
|
37F10 |
| MSC:
|
37F50 |
| idZBL:
|
Zbl 1051.30040 |
| idMR:
|
MR2073510 |
| DOI:
|
10.21136/MB.2004.133904 |
| . |
| Date available:
|
2009-09-24T22:13:37Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133904 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[4] Barza, I.: The dianalytic morphisms of the Klein bottles.Lect. Notes Math, 1351, Springer, 1988, pp. 38–51. Zbl 0658.30039, MR 0982071 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| . |
