The Gauss map of surfaces in the n-dimensional Euclidean space En or in the n-dimensional Lorentz-Minkowski space Ln is one of the intersting topics in differential geometry. The Gauss map has been investigated from various viewpoints by many differentional geometers. LetM be a surface in the three dimensional Euclidean space E?. The map G : M ??! S? amp;#??; E?, which sends each point p of M to the unit normal vector G(p) to M at p is called the Gauss map on the surfaceM, where S? is the unit sphere in E? centered at the origin.
