Geometric Properties of Timelike Surfaces in Lorentz-Minkowski 3-Space

Sümeyye Gür Mazlum

Abstract


In this paper, the relationships between geodesic torsions, normal curvatures and geodesic curvatures of the parameter curves intersecting at any angle on timelike surfaces in Lorentz-Minkowski 3-space are obtained by various equations. In addition, new equivalents of well-known formulas such as O. Bonnet, Euler, Liouville, Enneper are found in this space. Moreover, the different expressions of Gaussian curvature, which is one of the invariants of a timelike surface, are calculated. Finally, the examples of these surfaces are given.

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