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

• Дата: 2018
• Автори: Bezkorovaina, L. L., Безкоровайная, Л. Л.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2018
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1567
• Назва журналу: 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...