2018
Том 70
№ 5

All Issues

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

Bezkorovaina L. L.


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.

Citation Example: Bezkorovaina L. L. Surfaces generated by the real and imaginary parts of analytic functions: $A$-deformations occurring independently or simultaneously // Ukr. Mat. Zh. - 2018. - 70, № 4. - pp. 447-463.