On conformal points of area preserving maps and related topics
In this article we consider area preserving diffeomorphisms of planar domains, and we are interested in their conformal points, i.e., points at which the derivative is a similarity. We present some conditions that guarantee existence of conformal points for the infinitesimal problem of Hamiltonian v...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
8 August 2022
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| In: |
Journal of geometry and physics
Year: 2022, Volume: 180, Pages: 1-11 |
| DOI: | 10.1016/j.geomphys.2022.104644 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.geomphys.2022.104644 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0393044022001942 
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| Author Notes: | Peter Albers, Serge Tabachnikov |
| Summary: | In this article we consider area preserving diffeomorphisms of planar domains, and we are interested in their conformal points, i.e., points at which the derivative is a similarity. We present some conditions that guarantee existence of conformal points for the infinitesimal problem of Hamiltonian vector fields as well as for what we call moderate symplectomorphisms of simply connected domains. We also link this problem to the Carathéodory and Loewner conjectures. |
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| Item Description: | Online veröffentlicht am 8 August 2022, Artikelversion 17 August 2022 Gesehen am 09.12.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.1016/j.geomphys.2022.104644 |