SLANT CURVES AND PARTICLES IN THREE-DIMENSIONAL WARPED PRODUCTS AND THEIR LANCRET INVARIANTS

DOI10.1017/S0004972712000809zbMath1282.53015OpenAlexW1996753658MaRDI QIDQ2847605

Constantin Călin, Mircea Crasmareanu

Publication date: 11 September 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972712000809

zbMATH Keywords

Frenet framewarped productLancret invariantLegendre curveslant curve

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25) Differential invariants (local theory), geometric objects (53A55)

Related Items (6)

Slant curves in 3-dimensional normal almost paracontact metric manifolds ⋮ Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions ⋮ Space-like slant curves in three-dimensional normal almost paracontact geometry ⋮ Normal Fermi-Walker Derivative in $E_{1}^{3}$ ⋮ Slant and Legendre curves in Bianchi-Cartan-Vranceanu geometry ⋮ Slant curves in the Lorentzian warped product manifold \(-I \times_f{\mathbb{E}}^2\)

Cites Work

• Slant curves in three-dimensional \(f\)-Kenmotsu manifolds
• On Legendre curves in 3-dimensional normal almost paracontact metric manifolds
• A generalization of Lancret's theorem
• On Legendre curves in contact 3-manifolds
• On the characterization of spherical curves in 3-dimensional Sasakian spaces
• Particles with curvature and torsion in three-dimensional pseudo-Riemannian space forms
• On slant curves in Sasakian 3-manifolds
• BIHARMONIC LEGENDRE CURVES IN SASAKIAN SPACE FORMS
• SLANT CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS
• General helices and a theorem of Lancret
• ON LEGENDRE CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS
• Riemannian geometry of contact and symplectic manifolds

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