On geometry of two dimensional surfaces in four dimensional Euclid space

Geometry of two-dimensional surfaces in E4 is an essential part of differential geometry and studied by many authors [4, 5, 6, 10]. In this paper, we give some surface in four dimensional Euclid space E4 with nonzero Gauss curvature which is a orbit of the system of two vector fields. Smoothness is the smoothness of the class C∞.

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