Spherical product immersions

This paper is organized in four parts. In the first chapter in the 3- dimensional Euclidean space with a global product surface and two planar curves X = α⊗β studies on geometrical features of this global product surface is expressed as summary. Various definitions and theorems are given which will be used in the thesis. In the second part of the 3-dimensional and 4- dimensional Euclidean space it expressed global product surfaces. This surface irregularity on the given theorem obtained to be zero. The third section is the original part of the thesis. The third chapter is primarily obtained from the results discussed in advance about the global product surface.Then G_3^1 except isotropic plane constant mean curvature has been investigated whether there is a global product surface. G_3^1 has also dealt with two generators curve obtained necessary conditions for the global product surface is flat .