Geodesic
Surfaces Given with the Monge Patch in $\mathbb{E}^{4}$
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013), pp. 435-447

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In the present paper we consider the surfaces in the Euclidean 4-space $\mathbb{E}^{4}$ given with a Monge patch $z=f(u,v)$, $w=g(u,v)$ and study the curvature properties of these surfaces. We also give some special examples of these surfaces first defined by Yu. Aminov. Finally, we prove that every Aminov surface is a non-trivial Chen surface. 
@article{JMAG_2013_9_a0,
     author = {B. Bulca and K. Arslan},
     title = {Surfaces {Given} with the {Monge} {Patch} in $\mathbb{E}^{4}$},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {435--447},
     publisher = {mathdoc},
     volume = {9},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2013_9_a0/}
}
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B. Bulca; K. Arslan. Surfaces Given with the Monge Patch in $\mathbb{E}^{4}$. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013), pp. 435-447. http://geodesic.mathdoc.fr/item/JMAG_2013_9_a0/