Wave character of metrics and hyperbolic geometric flow

DOI10.1063/1.2795839zbMath1152.81515OpenAlexW2046396804WikidataQ125811115 ScholiaQ125811115MaRDI QIDQ3544487

De-Xing Kong, Ke Feng Liu

Publication date: 8 December 2008

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

Full work available at URL: https://semanticscholar.org/paper/362023bb753b23e6ce64497737c492e9d3f016d8

Mathematics Subject Classification ID

Related Items (25)

Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow ⋮ A random geometric graph built on a time-varying Riemannian manifold ⋮ Hyperbolic mean curvature flow ⋮ Hyperbolic mean curvature flow in Minkowski space ⋮ Einstein's hyperbolic geometric flow ⋮ A nonexistence result for a nonlinear wave equation with damping on a Riemannian manifold ⋮ The Hyperbolic Geometric Flow on Riemann Surfaces ⋮ Symmetries and solutions to geometrical flows ⋮ Hyperbolic Ricci-Bourguignon flow ⋮ Hyperbolic Kähler-Ricci flow ⋮ Hyperbolic mean curvature flow for Lagrangian graphs: one dimensional case ⋮ Three dimensional homogeneous hyperbolic Ricci solitons ⋮ Unnamed Item ⋮ Evolution equations of curvature tensors along the hyperbolic geometric flow ⋮ Long time existence of hyperbolic Ricci-Bourguignon flow on Riemannian Surfaces ⋮ Global solutions for a new geometric flow with rotational invariance ⋮ Global existence of classical solutions to the minimal surface equation in two space dimensions with slow decay initial value ⋮ Time-periodic solutions of the Einstein's field equations. I: General framework ⋮ SYMMETRY ANALYSIS, EXACT SOLUTIONS AND POWER SERIES SOLUTIONS OF DISSIPATIVE HYPERBOLIC GEOMETRY FLOW ⋮ Nonlinear self-adjointness and conservation laws for the modified dissipative hyperbolic geometric flow equation ⋮ Mixed initial boundary value problem for hyperbolic geometric flow on Riemann surfaces ⋮ Global existence of classical solutions to the hyperbolic geometry flow with time-dependent dissipation ⋮ Nonlinear Self-Adjointness and Conservation Laws for the Hyperbolic Geometric Flow Equation ⋮ Classical solutions to a dissipative hyperbolic geometry flow in two space variables ⋮ Optimal system, invariant solutions and conservation laws of the hyperbolic geometry flow with time-dependent dissipation

Cites Work

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• The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\)
• The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
• The equation for time-like extremal surfaces in Minkowski space R2+n
• Gravitational Collapse and Space-Time Singularities
• Symmetric hyperbolic linear differential equations

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