Yazarlar

• Mazlum, Sümeyye Gür(2)
• Aenyurt, Süleyman(1)
• Li, Yanlin(1)

• MakaleAçık Erişim2023Scopus SJRQ3/r/gumushane/14528
  On 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.

  AtıfScopus3·WoS3·OpenAlex1

  İncele
• MakaleYalnız künye2023Scopus SJRQ2/r/gumushane/11906
  The Darboux trihedrons of timelike surfaces in the Lorentzian 3-space

  Li, Yanlin; Mazlum, Sümeyye Gür; Aenyurt, Süleyman

  The parameter curves (c1) and (c2) intersecting under the angle on a timelike surface and any curve (c) passing through the same point with these curves have six different cases according to their causal characters. In this study, the Darboux trihedrons of these three curves and the Darboux instantaneous rotation vectors of these trihedrons are separately calculated for each of these six cases, and the relationships between these vectors are given. In addition, some theorems and results have been obtained on this surface. Besides, the special cases where the parameter curves (c1) and (c2) intersect perpendicularly are examined and these cases are compared with previous studies.

  AtıfScopus13·WoS14·OpenAlex15

  İncele