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

摘要

abstract_textpIn 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 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 E-4 and four-dimensional pseudo-Euclidean space E-2(4)./p/abstract_text