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In this paper, we obtain the characterizations of Mannheim offsets of thetimelike ruled surface with spacelike rulings in dual Lorentzian space. We givethe relations between terms of their integral invariants and also we give thenew characterization of the Mannheim offsets of developable timelike ruledsurface. Moreover, we obtain the relationships between the area of projectionsof spherical images for Mannheim offsets of timelike ruled surfaces and theirintegral invariants.

Mannheim Offsets of the Timelike Ruled Surfaces with Spacelike Rulings in Dual Lorentzian Space