Publication: Surface pencils in euclidean 4-space e 4
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World Scientific Publ Co Pte Ltd
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In this paper, we study the problem of constructing a family of surfaces (surface pencils) from a given curve in 4-dimensional Euclidean space E-4. We have shown that the generalized rotation surfaces in E-4 are the special type of surface pencils. Further, the curvature properties of these surfaces are investigated. Finally, we give some examples of flat surface pencils in E-4.
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Parametric representation, Common line, Surface pencil, Marching-scale function, Gaussian curvature, Science & technology, Physical sciences, Mathematics