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This research aims to explore the characteristics and definitions of ruled surfaces in pseudo-Galilean space.

Ruled Surfaces Created with Spherical Curves in Pseudo-Galilean Space

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This research aims to explore the characteristics and definitions of ruled surfaces in pseudo-Galilean space.
Calculated the orthonormal frame and derivative equations of curves on the pseudo-Galilean sphere.
Established conditions for unit speed curves to be curvature lines, geodesics, or asymptotic curves.
Defined structure functions and ruled invariants in pseudo-Galilean sense.
Identified conditions for different types of curves in the pseudo-Galilean sense.
Examined relationships between Frenet frames of generating curves and the corresponding ruled surfaces.

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The study uncovers the properties of ruled surfaces in pseudo-Galilean space, suggesting implications for curve structures.

Keziban Orbay (2026) studied this question.

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