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

• Date: 2018
• Main Authors: Bezkorovaina, L. L., Безкоровайная, Л. Л.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1567
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...