The equi-affine and Frenet curvatures of curves in pseudo-Riemannian 2-manifolds
Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 103-112
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
arbitrary nondegenerate curve pseudo riemannian including riemannian manifold express equi affine curvature help frenet geodesic curvature curve
Affiliations des auteurs :
Karina Olszak 1 ; Zbigniew Olszak 2
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author = {Karina Olszak and Zbigniew Olszak},
title = {The equi-affine and {Frenet} curvatures of curves in {pseudo-Riemannian} 2-manifolds},
journal = {Colloquium Mathematicum},
pages = {103--112},
publisher = {mathdoc},
volume = {150},
number = {1},
year = {2017},
doi = {10.4064/cm7167s-3-2017},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm7167s-3-2017/}
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%0 Journal Article %A Karina Olszak %A Zbigniew Olszak %T The equi-affine and Frenet curvatures of curves in pseudo-Riemannian 2-manifolds %J Colloquium Mathematicum %D 2017 %P 103-112 %V 150 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm7167s-3-2017/ %R 10.4064/cm7167s-3-2017 %G en %F 10_4064_cm7167s_3_2017
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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