| Title:
|
On the existence of parabolic actions in convex domains of $\mathbb C^{k+1}$ (English) |
| Author:
|
Berteloot, François |
| Author:
|
Thu, Ninh Van |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
65 |
| Issue:
|
3 |
| Year:
|
2015 |
| Pages:
|
579-585 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that the one-parameter group of holomorphic automorphisms induced on a strictly geometrically bounded domain by a biholomorphism with a model domain is parabolic. This result is related to the Greene-Krantz conjecture and more generally to the classification of domains having a non compact automorphisms group. The proof relies on elementary estimates on the Kobayashi pseudo-metric. (English) |
| Keyword:
|
parabolic boundary point |
| Keyword:
|
convex domain |
| Keyword:
|
automorphism group |
| MSC:
|
32H02 |
| MSC:
|
32H50 |
| MSC:
|
32M05 |
| idZBL:
|
Zbl 06537681 |
| idMR:
|
MR3407594 |
| DOI:
|
10.1007/s10587-015-0197-y |
| . |
| Date available:
|
2015-10-04T17:58:57Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144431 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
