Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions

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 Eαβ4. Also, for some special cases of α and β, we obtain the characterizations of flat rotational surfaces with pointwise 1-type Gauss map in four-dimensional Euclidean space E4 and four-dimensional pseudo-Euclidean space E24. © 2018, The National Academy of Sciences, India.