Notes on magnetic curves in 3D semi-Riemannian manifolds

DOI10.3906/mat-1408-31zbMath1345.53025OpenAlexW2031929683WikidataQ115219467 ScholiaQ115219467MaRDI QIDQ2813410

Yusuf Yayli, Zehra Özdemir, Ismail Gök, F. Nejat Ekmekci

Publication date: 24 June 2016

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: http://journals.tubitak.gov.tr/math/abstract.htm?id=16131

zbMATH Keywords

ordinary differential equationsflowsvector fieldsspecial curves

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Magnetic trajectories on lightlike surfaces ⋮ Killing vectors and magnetic curves associated to Bott connection in Heisenberg group ⋮ Null Cartan curve variations in 3D semi-Riemannian manifold ⋮ On Slant Magnetic Curves in S-manifolds ⋮ Pseudo null curve variations for Bishop frame in 3D semi-Riemannian manifold ⋮ Variational equations and Killing magnetic trajectories on timelike surfaces in semi-Riemannian manifolds

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