Research Information System
Symmetry, vol.18, no.1, 2026 (SCI-Expanded, Scopus)
The spherical product of two curves, composed of a total of n components, gives rise to spherical product surfaces in Euclidean space (Formula presented.), frequently resulting in surfaces of revolution, including superquadrics, which often exhibit inherent symmetry. When (Formula presented.) -planar curves are considered, this construction enables the generation of hypersurfaces in n-dimensional spaces. Building upon this geometric framework, we conduct the first-ever investigation of spherical product hypersurfaces in the context of Minkowski geometry. We define these hypersurfaces in four-dimensional Minkowski space (Formula presented.) and derive explicit expressions for their Gaussian and mean curvatures. We also determine the conditions under which such hypersurfaces are flat or minimal. Furthermore, we reinterpret certain hyperquadrics as specific instances of spherical product hypersurfaces in (Formula presented.), supported by visual illustrations. Finally, we extend the construction to arbitrary-dimensional Minkowski spaces, providing a unified formulation for spherical product hypersurfaces across higher-dimensional Lorentzian geometries.