Geometric phases of nonlinear elastic \(N\)-rotors via Cartan's moving frames
From MaRDI portal
Publication:6191530
DOI10.1016/j.physd.2023.134040arXiv2302.07441OpenAlexW4390452215MaRDI QIDQ6191530
Francesco Fedele, Arash Yavari
Publication date: 7 March 2024
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.07441
Applications of differential geometry to physics (53Z05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Exterior differential systems (Cartan theory) (58A15) Elastic materials (74B99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Riemann-Cartan manifolds
- Line and point defects in nonlinear anisotropic solids
- Riemannian structure on manifolds of quantum states
- Riemann-Cartan geometry of nonlinear dislocation mechanics
- Symmetry reduction of turbulent pipe flows
- The geometry of discombinations and its applications to semi-inverse problems in anelasticity
- Cartography of high-dimensional flows: A visual guide to sections and slices
- Reduction, symmetry, and phases in mechanics
- Crest speeds of unsteady surface water waves
- Quantal phase factors accompanying adiabatic changes
- Geometry of self-propulsion at low Reynolds number
- Leapfrogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction
- Reconstruction phases in the planar three- and four-vortex problems
- Riemann–Cartan geometry of nonlinear disclination mechanics
- Weyl geometry and the nonlinear mechanics of distributed point defects
- Foundations of classical electrodynamics. Charge, flux, and metric