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Surfaces Generated by the Real and Imaginary Parts of Analytic Functions: A-Deformations that Occur Independently or Simultaneously

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Ukrainian Mathematical Journal Aims and scope

It is proved that the surfaces generated by the real and imaginary parts of analytic functions admit 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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Authors and Affiliations

  1. Mechnikov Odessa National University, Odessa, Ukraine

    L. L. Bezkorovainaya

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  1. L. L. Bezkorovainaya
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 4, pp. 447–463, April, 2018.

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Bezkorovainaya, L.L. Surfaces Generated by the Real and Imaginary Parts of Analytic Functions: A-Deformations that Occur Independently or Simultaneously. Ukr Math J 70, 513–531 (2018). https://doi.org/10.1007/s11253-018-1513-0

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  • DOI: https://doi.org/10.1007/s11253-018-1513-0

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