# Super Darboux-Egoroff equations and solutions

P.H.M. Kersten, Ruud Martini

Research output: Book/ReportReportProfessional

## Abstract

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.
Original language Undefined Enschede University of Twente, Department of Applied Mathematics 19 Published - 1998

### Publication series

Name Memorandum / Department of Applied Mathematics University of Twente, Department of Applied Mathematics 1472 0169-2690

## Keywords

• METIS-141323
• MSC-35G99
• MSC-35G25
• EWI-3292
• IR-65661