Authors: Ferdağ Kahraman Aksoyak, Yusuf Yaylı

DOI: 10.24064/iwts2016.2017.5


Abstract: In this paper, we determine a surface $M$ by means of homothetic motion in $% In this paper, we determine a surface $M$ by means of homothetic motion in $% \mathbb{E}^{4}$ and we give necessary and sufficient conditions for flat surface $M$ with flat normal bundle to have pointwise 1-type Gauss map. \ Also, we show that flat surface $M$ with flat normal bundle which have pointwise 1-type Gauss map of the first kind is a Clifford Torus. Morever,  we obtain a characterization of minimal surface $M$ with pointwise 1-type Gauss map.


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