The Ribaucour transformation for flat Lagrangian submanifolds |
| |
| Authors: | Marcos Dajczer Ruy Tojeiro |
| |
| Institution: | (1) Institute de Matematica Pura e Aplicada, IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil;(2) Universidade Federal de Uberlandia, 38400-089 Uberlandia, Brazil |
| |
| Abstract: | We study the Ribaucour transformation for flat Lagrangian submanifolds in complex flat space and complex projective space.
As a consequence, we obtain a process to generate a new family of such submanifolds from a given one. Analytically, this provides
a method to construct new solutions of the corresponding systems of PDEs from a given one. We also show that such transformation
always comes with a permutability formula. |
| |
| Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 53B25 58F07 |
| 本文献已被 SpringerLink 等数据库收录！ |
