Abstract
In this article we investigate Vranceanu rotation surfaces with pointwise 1- type Gauss map in Euclidean 4-space \( \mathbb{E}^4 \). 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.
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This paper is prepared during the fifth named author’s visit to the Uludag University, Bursa, Turkey in July 2009.
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Arslan, K., Bayram, B.K., Bulca, B. et al. Vranceanu surface in \( \mathbb{E}^4 \) with pointwise 1- type Gauss map. Indian J Pure Appl Math 42, 41–51 (2011). https://doi.org/10.1007/s13226-011-0003-y
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DOI: https://doi.org/10.1007/s13226-011-0003-y