Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space
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Publication:3544629
DOI10.1063/1.2827467zbMath1153.81348arXivmath/0510388OpenAlexW2071055507MaRDI QIDQ3544629
Herman Gluck, Dennis M. DeTurck
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0510388
Applications of global differential geometry to the sciences (53C80) Motion of charged particles (78A35) Classical differential geometry (53A99)
Related Items
Slant Curves and Magnetic Curves ⋮ The linking number in systems with periodic boundary conditions ⋮ The geometric theta correspondence for Hilbert modular surfaces ⋮ Higher-dimensional linking integrals ⋮ Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows ⋮ Analysis of zero modes for Dirac operators with magnetic links ⋮ Chern-Simons theory from M5-branes and calibrated M2-branes ⋮ Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces ⋮ Remark on the dissipation of the magnetic helicity integral ⋮ Right-handed vector fields and the Lorenz attractor ⋮ The Biot-Savart operator and electrodynamics on subdomains of the three-sphere ⋮ Geodesic flow, left-handedness and templates
Cites Work
- Isoperimetric problems for the helicity of vector fields and the Biot–Savart and curl operators
- The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics
- The Biot-Savart operator and electrodynamics on subdomains of the three-sphere
- Vector Calculus and the Topology of Domains in 3-Space
