Tubular Surfaces Of Center Curves On Spacelike Surfaces In Lorentz-Minkowski 3-space

In this paper,we introduce three kinds of tubular surfaces associated to original center curves γ lying in spacelike surfaces in Lorentz-Minkowski 3-space.It is demonstrated that these tubular surfaces can occur some singularities and the types of these singularities can be characterised by several invariants respectively.Some interesting relations between the contacts of original curve γ with osculating model surfaces,the contacts of γ with slices,and the singularities of three kinds of surfaces are further revealed.Several examples are presented to explain the theoretical results.