Surfaces generated by the real and imaginary parts of analytic functions: $A$-deformations occurring independently or simultaneously

  • L. L. Bezkorovaina

Abstract

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.
Published
25.04.2018
How to Cite
BezkorovainaL. L. “Surfaces Generated by the Real and Imaginary Parts of Analytic functions: $A$-Deformations Occurring Independently or Simultaneously”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 4, Apr. 2018, pp. 447-63, http://umj.imath.kiev.ua/index.php/umj/article/view/1567.
Section
Research articles