Super Darboux-Egoroff equations are discussed. First of all linearity of the potential $\varphi$ with respect to odd variables is proved. Solutions of Darboux-Egoroff equations in dimension $(2|2)$ including flatness of the unit vector field are constructed. Moreover solutions of Darboux-Egoroff equations in the presence of an Euler vector field are given. In dimension $(3|3)$ solutions of Darboux-Egoroff equations including flatness of unit and presence of Euler field are given.
|Name||Memorandum / Department of Applied Mathematics|
|Publisher||University of Twente, Department of Applied Mathematics|