The geodesic curvature and geodesic torsion of the intersection curve of two surfaces.

Düldül, Bahar Uyar; Çalişkan, Mustafa

Displaying similar documents to “The geodesic curvature and geodesic torsion of the intersection curve of two surfaces.”

A method of the determination of a geodesic curve on ruled surface with time-like rulings.

Kasap, Emin (2005)

Novi Sad Journal of Mathematics

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On a conjecture about the Gauss map of complete spacelike surfaces with constant mean curvature in the Lorentz-Minkowski space.

Chaves, Rosa M.B., Cueva Cândido, Cláudia (2004)

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Ruled W-surfaces in Minkowski 3-space $ℝ_{1}^{3}$ .

Abdel-Baky, R.A., Abd-Ellah, H.N. (2008)

Archivum Mathematicum

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Ruled W-surfaces in Minkowski 3-space $ℜ_{1}^{3}$

Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)

Archivum Mathematicum

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In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set ${K, K_{I I}, H, H_{I I}}$ , where $(K, H)$ and $(K_{I I}, H_{I I})$ are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.

Ruled W-surfaces in Minkowski 3-space $ℜ_{1}^{3}$

Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)

Archivum Mathematicum

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Space-like surfaces in an anti-de Sitter space

Qing Cheng (1993)

Colloquium Mathematicae

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Biminimal general helix in the Heisenberg group $H e i s^{3}$

Essin Turhan, Talat Körpinar (2010)

Kragujevac Journal of Mathematics

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$(m + 1)$ -dimensional spacelike parallel $p_{i}$ -equidistant ruled surfaces in the Minkowski space $R_{1}^{n}$ .

Masal, Melek (2006)

Novi Sad Journal of Mathematics

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Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature

Julià Cufí, Agustí Reventós (2014)

Archivum Mathematicum

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We relate the total curvature and the isoperimetric deficit of a curve $γ$ in a two-dimensional space of constant curvature with the area enclosed by the evolute of $γ$ . We provide also a Gauss-Bonnet theorem for a special class of evolutes.