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math.GM2026
Third-order relativistic kinematics and Siacci shock decompositions via localised Darboux frames
Fatma Almaz, Çiğdem Yavuz
Constrained particle trajectories along lower-dimensional world sheets constitute a foundational domain in relativistic kinematics and submanifold theory. This paper establishes a…
math.DG2026
A generalisation of g-rectifying and g-normal curves in Lorentzian n-space
Fatma Almaz, Hazel Diken
In this paper, we introduce and analyze rectifying curves (spacelike and null curves) and normal curves in Lorentzian -space, building upon the established notion of r…