VRANCEANU SURFACE IN E-4 WITH POINTWISE 1-TYPE GAUSS MAP


Arslan K., Bayram B. K. , Bulca B., Kim Y. H. , Murathan C., Ozturk G.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.42, no.1, pp.41-51, 2011 (Journal Indexed in SCI) identifier identifier

Abstract

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.