Slant curves in 3-dimensional normal almost contact geometry

DOI10.1007/s00009-012-0217-1zbMath1269.53020OpenAlexW2062538303MaRDI QIDQ1949868

Constantin Călin, Mircea Crasmareanu

Publication date: 17 May 2013

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

Full work available at URL: https://doi.org/10.1007/s00009-012-0217-1

zbMATH Keywords

Lancret invariantslant curvenormal almost contact manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25) Almost contact and almost symplectic manifolds (53D15)

Related Items (12)

Magnetic curves in three-dimensional quasi-para-Sasakian geometry ⋮ On curves in 3-dimensional normal almost contact metric manifolds ⋮ Slant curves in 3-dimensional normal almost paracontact metric manifolds ⋮ On slant curves in normal almost contact metric 3-manifolds ⋮ Slant curve in Lorentzian BCV spaces ⋮ Slant curves in the unit tangent bundles of surfaces ⋮ Space-like slant curves in three-dimensional normal almost paracontact geometry ⋮ On pseudo-Hermitian biharmonic slant curves in Sasakian space forms endowed with the Tanaka-Webster connection ⋮ Pointwise slant curves in quasi-paraSasakian 3-manifolds ⋮ Slant and Legendre curves in Bianchi-Cartan-Vranceanu geometry ⋮ N-Legendre and N-slant curves in the unit tangent bundle of Minkowski surfaces ⋮ Slant curves in the Lorentzian warped product manifold \(-I \times_f{\mathbb{E}}^2\)

Cites Work

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• Slant curves in three-dimensional \(f\)-Kenmotsu manifolds
• Foliations and complemented framed structures on an almost contact metric manifold
• On Legendre curves in 3-dimensional normal almost paracontact metric manifolds
• On Legendre curves in contact 3-manifolds
• Closed Legendre geodesics in Sasaki manifolds
• On the characterization of spherical curves in 3-dimensional Sasakian spaces
• On slant curves in Sasakian 3-manifolds
• BIHARMONIC LEGENDRE CURVES IN SASAKIAN SPACE FORMS
• SLANT CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS
• Normal almost contact metric manifolds of dimension three
• General helices and a theorem of Lancret
• Submanifolds with harmonic mean curvature vector field in contact 3-manifolds
• ON LEGENDRE CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS
• Riemannian geometry of contact and symplectic manifolds

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