Surfaces generated by the real and imaginary parts of analytic functions: $A$-deformations occurring independently or simultaneously
It is proved that the surfaces generated by the real and imaginary parts of analytic functions allow nontrivial infinitesimal areal deformations of certain three types. The fields of displacements are explicitly expressed in all three cases. Given surfaces are rigid with respect to infinitesimal ben...
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2018
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1567 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | It is proved that the surfaces generated by the real and imaginary parts of analytic functions allow nontrivial infinitesimal
areal deformations of certain three types. The fields of displacements are explicitly expressed in all three cases. Given
surfaces are rigid with respect to infinitesimal bendings of each type. |
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