The Evolute Surface of a Surface Which Parameter Lines Are Lines of Curvature in E-4

Abstract

In this study it is searched that how the evolute surface of a surface, which is given parameter lines are lines of curvature in E-4 is constructed. Then, the Gaussian curvature and the mean curvature of the evolute surface are investigated and some important results are given. Finally, we present some examples to confirm our claim.