Time-like complementary ruled surfaces in the Minkowski space

TIME-LIKE COMPLEMENTARY RULED SURFACES IN THE MINKOWSKI SPACE SUMMARY Keywords : Lorentz Space, Minkowski Space, Ruled Surface, Complementary Ruled Surface, Asymptotic Bundle, Tangent Bundle This study are arranged as three chapters. In the first chapter, Lorentz space, Minkowski space and semi-Euclidean space are introduced and the basic definitions related to semi-Riemann manifolds are given. In the second chapter, (k + l)-dimensional time-like ruled surfaces wife, the space- like generating space in the n-dimensional Minkowski space IR" are introduced and results related to derivative equations are given. Asymptotic bundle, Tangent bundle, Central space, Edge space, Central Ruled surface and Edge Ruled surface are also introduced. Tie AM chapter is the original part of this study. For the first time, (n - k-m)- dimensional time-like Complementary Ruled surface with the space-like generating space in the n-dimensional Minkowski space IM" is defined and characteristic results related to derivative equations are given. VI