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Turkish Journal of Mathematics, vol.48, no.5, pp.903-913, 2024 (SCI-Expanded)
Spherical product surfaces are obtained with the help of a special product by considering two curves in n−dimensional space. One of their special cases is rotational surface. The reason why the present study is significant that the spherical product is used to construct hypersurfaces. (n−1)−curves are needed during this construction. Firstly, the spherical product hypersurfaces are defined in \BbbE4, Gaussian and mean curvature are yielded and then conditions being flat or minimal are examined. Moreover, superquadrics, which are associated with spherical product, are handled for the first time in hypersurface form and give some examples. Finally, spherical product hypersurfaces are generalized to n−dimensional Euclidean space and contribute to literature.