Slant Curves and Magnetic Curves

DOI10.1007/978-981-16-0017-3_9OpenAlexW4285196101MaRDI QIDQ5050023

Marian Ioan Munteanu, Jun-Ichi Inoguchi

Publication date: 15 November 2022

Published in: Contact Geometry of Slant Submanifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-16-0017-3_9

zbMATH Keywords

Sasakian manifoldsalmost contact metric manifoldsslant curvesmagnetic curvesLandau-Hall functional

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Local submanifolds (53B25) Almost contact and almost symplectic manifolds (53D15)

Related Items

\(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_0^4\), Homogeneity of magnetic trajectories in the real special linear group, Killing Magnetic Curves in $\: \mathbb{H}^{3}$, Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil₃, Magnetic Jacobi fields in 3-dimensional Sasakian space forms, Magnetic Jacobi fields in Sasakian space forms

Cites Work

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• Magnetic curves in cosymplectic manifolds
• Slant curves in three-dimensional \(f\)-Kenmotsu manifolds
• On slant curves in normal almost contact metric 3-manifolds
• On nearly Sasakian and nearly cosymplectic manifolds
• Magnetic curves in tangent sphere bundles. II
• On magnetic curves in almost cosymplectic sol space
• A classification of almost contact metric manifolds
• On the existence of almost contact structure and the contact magnetic field
• Explicit formulas for biharmonic submanifolds in Sasakian space forms
• Affine biharmonic submanifolds in 3-dimensional pseudo-Hermitian geometry
• Geodesics in the unit tangent bundle of a round sphere
• On almost cosymplectic manifolds
• Biharmonic Hopf cylinders
• On Legendre curves in contact 3-manifolds
• On three-dimensional conformally flat quasi-Sasakian manifolds
• Minimizing area among Lagrangian surfaces: the mapping problem.
• On some closed magnetic curves on a 3-torus
• Killing magnetic curves in Sol space
• On the three-dimensional spaces which admit a continuous group of motions
• Closed Legendre geodesics in Sasaki manifolds
• Affine biharmonic curves in 3-dimensional homogeneous geometries
• Almost contact curves in normal almost contact 3-manifolds
• Linking, twisting, writing, and helicity on the 3-sphere and in hyperbolic 3-space
• Magnetic curves in quasi-Sasakian 3-manifolds
• Magnetic trajectories in an almost contact metric manifold \(\mathbb R^{2N+1}\)
• Magnetic curves on tangent sphere bundles
• Biharmonic submanifolds in \(3\)-dimensional \((\kappa, \mu)\)-manifolds
• Periodic magnetic curves in Berger spheres
• On the classification of almost contact metric manifolds
• The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
• Second variation formula and the stability of Legendrian minimal submanifolds in Sasakian manifolds
• A note on magnetic curves on image
• Biharmonic curves in 3-dimensional Sasakian space forms
• The Seiberg-Witten equations and the Weinstein conjecture
• Quasi-Sasakian structures of rank 2p + 1
• Hamiltonian minimal Lagrangian cones in \(\mathbb C^m\)
• Biharmonic curves in the generalized Heisenberg group
• Magnetic curves in the real special linear group
• On some types of slant curves in contact pseudo-Hermitian 3-manifolds
• Magnetic maps
• GAUSS' LINKING NUMBER REVISITED
• On slant curves in Sasakian 3-manifolds
• Magnetic vortex filament flows
• Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space
• SLANT CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS
• The contact magnetic flow in 3D Sasakian manifolds
• Normal almost contact metric manifolds of dimension three
• Slant immersions
• BIHARMONIC SURFACES IN PSEUDO-EUCLIDEAN SPACES
• General helices and a theorem of Lancret
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
• Submanifolds with harmonic mean curvature vector field in contact 3-manifolds
• COMPACT HYPERSURFACES DETERMINED BY A SPECTRAL VARIATIONAL PRINCIPLE
• Submanifolds with harmonic mean curvature in pseudo-Hermitian geometry
• SLANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS
• Magnetic vector fields: New examples
• ON LEGENDRE CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS
• Magnetic curves in Sasakian manifolds
• Differential geometry of rectifying submanifolds
• SLANT CURVES IN 3-DIMENSIONAL ALMOST f-KENMOTSU MANIFOLDS
• C-parallel Mean Curvature Vector Fields along Slant Curves in Sasakian 3-manifolds
• Magnetic curves in a Euclidean space: One example, several approaches
• On an invariant tensor under a ${\rm CL}$-transformation
• On Fubinian and $C$-Fubinian manifolds
• Harmonic Mappings of Riemannian Manifolds
• Magnetic curves in Sol₃
• Riemannian geometry of contact and symplectic manifolds