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Rotational surfaces with rotations in \(\mathbf{x}_2\mathbf{x}_4\)-plane. (English) Zbl 1505.53009

Summary: In the present study we consider generalized rotational surfaces in Euclidean 4-space \(\mathbb{E}^4\). Further, we obtain some curvature properties of these surfaces. We also introduce some kind of generalized rotational surfaces in \(\mathbb{E}^4\) with the choice of meridian curve. Finally, we give some examples.

MSC:

53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces

References:

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