Equations for the motion of relativistic torus in the Minkowski space R1+n

DOI10.1063/1.2771417zbMath1152.81479OpenAlexW2000349209MaRDI QIDQ3544416

Shou-jun Huang, De-Xing Kong

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2771417

zbMATH Keywords

Minkowski spaceplane wave solutions3-dimensional timelike extremal submanifoldslightlike extremal submanifoldslinear degeneracy (in the sense of Lax) of all characteristic fieldsmotion of relativistic torusnon-strict hyperbolicity, constant multiplicity of eigenvaluesstrong null-condition

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) PDEs in connection with relativity and gravitational theory (35Q75)

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Cites Work

• The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\)
• Hyperbolic systems of conservation laws II
• The equation for time-like extremal surfaces in Minkowski space R2+n
• A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
• Global existence for small initial data in the Born–Infeld equations
• Unnamed Item