On the Timelike Surface with Constant Angle in Hyperbolic Space

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