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- MakaleAçık Erişim2023On the Gaussian curvature of timelike surfaces in Lorentz-Minkowski 3-space
Mazlum, Sümeyye Gür
In this study, the various expressions of the Gaussian curvature of timelike surfaces whose parameter curves intersect under any angle are investigated and the Enneper formula is obtained in Lorentz-Minkowski 3-space. By giving an example for these surfaces, the graphs of the surface and its Gaussian curvature are drawn.
- MakaleAçık Erişim2023Geometric properties of timelike surfaces in Lorentz-Minkowski 3-space
Mazlum, Sümeyye Gür
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 (O. Bonnet, Euler, Liouville) are found in this space. Finally, the examples of these surfaces are given.