INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.42, sa.1, ss.41-51, 2011 (SCI-Expanded)
In this article we investigate Vranceanu rotation surfaces with pointwise 1-type Gauss map in Euclidean 4-space E-4. We show that a Vranceanu rotation surface M has harmonic Gauss map if and only if M is a part of a plane. Further, we give necessary and sufficent conditions for Vranceanu rotation surface to have pointwise 1-type Gauss map.