On the Timelike Surface with Constant Angle in Hyperbolic Space

Authors : Tuğba Mert

Pages : 0-0

Doi:10.18466/cbujos.28202

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Publication Date : 2016-04-30

Article Type : Other Papers

Abstract :On the Timelike Surface with Constant Angle in Hyperbolic Space  In this paper , we study constant timelike angle surface whose unit normal vector field make constant timelike with a fixed spacelike axis  in  in Hyperbolic space .  Let   be a spacelike immersion and let  be a unit normal vector field to .  If there exists spacelike direction   such that timelike angle  is constant on , then  is called constant timelike angle surfaces with spacelike axis in   . Also, conditions being a constant angle surface in  have been determined and invariants of these surfaces have been investigated.
Keywords : Constant Angle Surface, Hyperbolic Space, Helix, Timelike Surface