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math.DG2006★ 2 cited
Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes
Anna Maria Candela, Jose' Luis Flores, Miguel Sanchez
In order to apply variational methods to the action functional for geodesics of a stationary spacetime, some hypotheses, useful to obtain classical Palais-Smale condition, are comm…
math.DG2006
Geodesics in semi-Riemannian Manifolds: Geometric Properties and Variational Tools
Anna Maria Candela, Miguel Sánchez
Geodesics become an essential element of the geometry of a semi-Riemannian manifold. In fact, their differences and similarities with the (positive definite) Riemannian case, const…