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General rotational surfaces satisfying ΔxT = φxT

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Demirbaş, Eray
Arslan, Kadri
Bulca, Betül

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Springer Basel Ag

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In the present study we consider rotational surfaces in Euclidean 4-space whose canonical vector field x(T) satisfy the equality Delta x(T) = phi x(T). Further, we obtain some results related to three types of general rotational surfaces in E-4 satisfying this equality. We also give some examples related with these type of surfaces.

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Euclidean-space e-4, 1-type gauss map, Meridian surfaces, Product surfaces, Ruled surfaces, Submanifolds, Revolution, General rotational surfaces, Position vector field, Finite type surfaces, Pointwise 1-type gauss map, Science & technology, Physical sciences, Mathematics, applied, Mathematics

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