Abstract
In this paper, we show that the constant property of the Gaussian curvature of surfaces of revolution in both ℝ4 and [Formula: see text] depend only on the radius of rotation. We then give necessary and sufficient conditions for the Gaussian curvature of the general rotational surfaces whose meridians lie in two-dimensional planes in ℝ4 to be constant, and define the parametrization of the meridians when both the Gaussian curvature is constant and the rates of rotation are equal.
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