Abstract
In this paper, we determine a rotational surface by means of generalized quaternions and study this flat rotational surface with pointwise 1-type Gauss map in four-dimensional generalized space \(\mathbb {E}_{\alpha \beta }^{4}\). Also, for some special cases of \(\alpha \) and \(\beta \), we obtain the characterizations of flat rotational surfaces with pointwise 1-type Gauss map in four-dimensional Euclidean space \(\mathbb {E}^{4}\) and four-dimensional pseudo-Euclidean space \(\mathbb {E}_{2}^{4}\).
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Kahraman Aksoyak, F., Yayli, Y. Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 90, 251–257 (2020). https://doi.org/10.1007/s40010-018-0565-8
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DOI: https://doi.org/10.1007/s40010-018-0565-8