Unitary vector fields are Fermi–Walker transported along Rytov–Legendre curves

DOI10.1142/S021988781550111XzbMath1350.53025OpenAlexW1930529183MaRDI QIDQ3455918

Mircea Crasmareanu, Camelia Frigioiu

Publication date: 11 December 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021988781550111x

zbMATH Keywords

Reeb vector fieldLegendre curveFrenet curveFermi-Walker transportRytov curve

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Almost contact and almost symplectic manifolds (53D15) Other special differential geometries (53A40)

Related Items (3)

The flow-curvature of spacelike parametrized curves in the Lorentz plane ⋮ Unnamed Item ⋮ Normal Fermi-Walker Derivative in $E_{1}^{3}$

Cites Work

• Slant curves in three-dimensional \(f\)-Kenmotsu manifolds
• Canonical connections on paracontact manifolds
• On Legendre curves in 3-dimensional normal almost paracontact metric manifolds
• CR submanifolds of complex projective space
• The parallel transport of a vector: Its physical meaning in three geometrical unified field theories
• On Legendre curves in contact 3-manifolds
• THE FERMI–WALKER DERIVATIVE IN LIE GROUPS
• 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 THE FERMI–WALKER DERIVATIVE AND NON-ROTATING FRAME
• The Fermi derivative in the hypersurfaces
• ON LEGENDRE CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS
• CONNECTIONS, PARALLEL TRANSPORTS AND TRANSPORTS ALONG PATHS
• Riemannian geometry of contact and symplectic manifolds

This page was built for publication: Unitary vector fields are Fermi–Walker transported along Rytov–Legendre curves