The classical Bäcklund transformation, which transforms surfaces of constant negative curvature, has been extended to surfaces in Minkowski three-space. In this article the tangency requirement of the Bäcklund transformation is relaxed to obtain a transformation of surfaces of Minkowski three-space with mean and Gaussian curvatures satisfying a linear relationship.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics