Equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space

DOI10.3103/S1063454107010062zbMath1145.83314MaRDI QIDQ945977

N. N. Petrov, V. R. Krym

Publication date: 22 September 2008

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Kaluza-Klein and other higher-dimensional theories (83E15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (16)

Graph surfaces on five-dimensional sub-Lorentzian structures ⋮ Area formula for graph surfaces on five-dimensional sub-Lorentzian structures ⋮ Variations of nonholonomic-valued mappings and their applications to maximal surface theory ⋮ The coarea formula for vector functions on Carnot groups with sub-Lorentzian structure ⋮ Maximal surfaces on five-dimensional group structures ⋮ Sub-Lorentzian coarea formula for mappings of Carnot groups ⋮ The area of graph surfaces on four-dimensional two-step sub-Lorentzian structures ⋮ Two-step sub-Lorentzian structures and graph surfaces ⋮ Classes of maximal surfaces on Carnot groups ⋮ The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure ⋮ Maximal Surfaces on Two-Step Sub-Lorentzian Structures ⋮ Unnamed Item ⋮ Maximal graph surfaces on four-dimensional two-step sub-Lorentzian structures ⋮ The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures ⋮ The Euler-Lagrange method in Pontryagin's formulation ⋮ Nonholonomous geodesics as solutions to Euler-Lagrange integral equations and the differential of the exponential mapping

Cites Work

• On Carnot-Caratheodory metrics
• Smooth kinematic-type manifolds
• Geodesic equations for a charged particle in the unified theory of gravitational and electromagnetic interactions
• Singular trajectories and their role in control theory
• Uniform estimation of sub-Riemannian balls
• Existence of abnormal minimizing geodesics in sub-Riemannian geometry
• A survey of singular curves in sub-Riemannian geometry
• Causal structures on smooth manifolds
• Non-subanalyticity of sub-Riemannian Martinet spheres
• The nonholonomic mechanics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space