The equi-affine and Frenet curvatures of curves in pseudo-Riemannian 2-manifolds

DOI10.4064/CM7167S-3-2017zbMath1410.53062arXiv1810.11835OpenAlexW2747877716WikidataQ115217833 ScholiaQ115217833MaRDI QIDQ4596088

Karina Olszak, Zbigniew Olszak

Publication date: 30 November 2017

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11835

zbMATH Keywords

Riemannian manifoldpseudo-Riemannian manifoldequi-affine curvature of a curveequi-affine manifoldFrenet curvature of a curve

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Exterior differential systems (Cartan theory) (58A15) Linear and affine connections (53B05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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