@article{article_101402, title={Surfaces in the Euclidean Space E4 with Pointwise 1-Type Gauss Map}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={40}, pages={617–625}, year={2011}, author={Dursun, Uğur and Arsan, Güler Gürpınar}, keywords={Minimal surface,Normal bundle,Mean curvature,Pointwise 1-type,Gauss map}, abstract={In this article we study surfaces in Euclidean space E 4 with pointwise 1-type Gauss map. We give a characterization of surfaces in E 4 with a pointwise 1-type Gauss map of the first kind. We conclude that an oriented non-minimal surface M in E 4 has a pointwise 1-type Gauss map of the first kind if and only if M is a surface in a 3-sphere of E 4 with constant mean curvature. We also obtain a characterization for non-planar minimal surfaces in E 4 with pointwise 1-type Gauss map of the second kind. Further we give a partial classification of surfaces in E 4 in terms of the pointwise 1-type Gauss map of the second kind.}, number={5}, publisher={Hacettepe University}