Degenerate Backlund transformation

• Date: 2016
• Main Authors: Gor'kavyi, V. A., Nevmerzhitskaya, E. N., Горькавий, В. А., Невмержицкая, Е. Н.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1820
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A concept of degenerate B¨acklund transformation is introduced for two-dimensional surfaces in many-dimensional Euclidean spaces. It is shown that if a surface in $R^n, n \geq 4$, admits a degenerate B¨acklund transformation, then this surface is pseudospherical, i.e., its Gauss curvature is consta...