Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes

DOI10.1016/j.aim.2008.01.004zbMath1142.53051arXivmath/0610175OpenAlexW2073253022MaRDI QIDQ2483178

Miguel Sánchez, José Luis Flores, Anna Maria Candela

Publication date: 28 April 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610175

zbMATH Keywords

coercivityPalais-Smale conditionstationary space-timeglobal hyperbolicityintrinsic approachgeodesic connectednesscompleteness.

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of global differential geometry to the sciences (53C80) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

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