Spherical product surfaces in e-4

Abstract

In the present study we calculate the coefficients of the second fundamental form and curvature ellipse of spherical product surfaces in E-4. Otsuki rotational surfaces and Ganchev-Milousheva rotational surfaces are the special type of spherical product surfaces in E-4. Further, we give necessary and sufficient condition for the origin of NpM to lie on the curvature ellipse of such surfaces. Finally we get the necessary condition for Ganchev-Milousheva rotational surfaces in E-4 to become flat or Chen type. We also give some examples of the projections of these surfaces in E-3.