Geodesic
The equi-affine and Frenet curvatures of curves in pseudo-Riemannian 2-manifolds
Karina Olszak 1   ; Zbigniew Olszak 2
1 Department of Mathematics Wrocław University of Science and Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
2 Department of Applied Mathematics Wrocław University of Science and Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 103-112 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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For an arbitrary nondegenerate curve in a pseudo-Riemannian (including Riemannian) 2-manifold, we express the equi-affine curvature with the help of the Frenet (geodesic) curvature of this curve.
DOI : 10.4064/cm7167s-3-2017
Keywords: arbitrary nondegenerate curve pseudo riemannian including riemannian manifold express equi affine curvature help frenet geodesic curvature curve

Karina Olszak  1   ; Zbigniew Olszak  2

1 Department of Mathematics Wrocław University of Science and Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
2 Department of Applied Mathematics Wrocław University of Science and Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland 
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     title = {The equi-affine and {Frenet} curvatures of curves in {pseudo-Riemannian} 2-manifolds},
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Karina Olszak; Zbigniew Olszak. The equi-affine and Frenet curvatures of curves in pseudo-Riemannian 2-manifolds. Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 103-112. doi: 10.4064/cm7167s-3-2017

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