Magnetic curves in three-dimensional quasi-para-Sasakian geometry

DOI10.1007/s00009-015-0570-yzbMath1347.53025OpenAlexW314353233MaRDI QIDQ305871

Constantin Călin, Mircea Crasmareanu

Publication date: 31 August 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0570-y

zbMATH Keywords

magnetic field(generalized) helixalmost paracontact structureLancret invariantLegendre curveLorentz equationmagnetic/slant curvenormal almost paracontact manifoldpara-Sasakian manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (5)

Pointwise slant curves in pseudo-Hermitian geometry ⋮ Some types of $f$-biharmonic and bi-$f$-harmonic curves ⋮ Unnamed Item ⋮ Space-like slant curves in three-dimensional normal almost paracontact geometry ⋮ Pointwise slant curves in quasi-paraSasakian 3-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Some associated curves of Frenet non-lightlike curves in \(\mathbb E_{1}^{3}\)
• Slant curves in 3-dimensional normal almost paracontact metric manifolds
• Canonical connections on paracontact manifolds
• Conformal paracontact curvature and the local flatness theorem
• On weakly para-cosymplectic manifolds of dimension 3
• On Legendre curves in 3-dimensional normal almost paracontact metric manifolds
• Killing magnetic curves in a Minkowski 3-space
• Slant curves in 3-dimensional normal almost contact geometry
• The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
• Killing magnetic curves in three-dimensional almost paracontact manifolds
• Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
• SLANT HELICES IN MINKOWSKI SPACE E₁³
• On slant curves in Sasakian 3-manifolds
• The contact magnetic flow in 3D Sasakian manifolds
• Magnetic curves in a Euclidean space: One example, several approaches

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