On the energy and pseudoangle of Frenet vector fields in \(\mathbb{R}_\nu^n\)
From MaRDI portal
Publication:1759959
DOI10.1007/s11253-011-0556-2zbMath1253.53014OpenAlexW2035204322MaRDI QIDQ1759959
Publication date: 23 November 2012
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-011-0556-2
Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (19)
A new version of the energy of tangent indicatrix with dynamics system in Lie group ⋮ An approach to energy and elastic for curves with extended Darboux frame in Minkowski space ⋮ On T-magnetic biharmonic particles with energy and angle in the three dimensional Heisenberg group H ⋮ A novel condition to the harmonic of the velocity vector field of a curve in \(\mathbb R^n\) ⋮ A new approach to the bienergy and biangle of a moving particle lying in a surface of Lorentzian space ⋮ Constant energy of time involute particles of biharmonic particles in Bianchi type-I cosmological model spacetime ⋮ A new version of energy and elastica for curves with extended darboux frame ⋮ Notes on the bienergy and biangle of a moving particle lying in a surface of euclidean space ⋮ Frictional magnetic curves in 3D Riemannian manifolds ⋮ Gravitational magnetic curves on 3D Riemannian manifolds ⋮ New characterizations for minimizing energy of biharmonic particles in Heisenberg spacetime ⋮ Curvature and torsion dependent energy of elastica and nonelastica for a lightlike curve in the Minkowski space ⋮ On velocity bimagnetic biharmonic particles with energy on Heisenberg space ⋮ A new approach on the energy of elastica and non-elastica in Minkowski space \(E_2^4\) ⋮ On the energy and pseudoangle of Frenet vector fields in \(\mathbb{R}_\nu^n\) ⋮ A new version of normal magnetic force particles in 3D Heisenberg space ⋮ A New Approach On The Curvature Dependent Energy For Elastic Curves in a Lie Group ⋮ A new version of Fermi Walker derivative with constant energy for normal image of slant helix in the Lie groups ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Corrected energy of distributions on Riemannian manifolds
- On the energy and pseudoangle of Frenet vector fields in \(\mathbb{R}_\nu^n\)
- Higher Curvatures of Curves in Euclidean Space
- On the energy of a unit vector field
- The energy of unit vector fields on the 3-sphere
- On the energy of distributions, with application to the quaternionic Hopf fibrations
This page was built for publication: On the energy and pseudoangle of Frenet vector fields in \(\mathbb{R}_\nu^n\)
