Time functions revisited

DOI10.1142/S0219887815600270zbMath1335.53096OpenAlexW2284485343MaRDI QIDQ3465841

Albert Fathi

Publication date: 22 January 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887815600270

zbMATH Keywords

cone structureAubry settime functions

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (6)

Further observations on the definition of global hyperbolicity under low regularity ⋮ Lyapounov functions of closed cone fields: from Conley theory to time functions ⋮ Lorentzian causality theory ⋮ Causality theory for closed cone structures with applications ⋮ The mixed scalar curvature of almost-product metric-affine manifolds. II ⋮ The future is not always open

Cites Work

• Smoothing and extending cosmic time functions
• PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
• Finsler metrics and relativistic spacetimes
• On smooth time functions
• A metric approach to the converse Lyapunov theorem for continuous multivalued dynamics
• The existence of cosmic time functions
• Domain of Dependence

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