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Geodesics in semi-Riemannian manifolds: geometric properties and variational tools

Geodesics in semi-Riemannian manifolds: geometric properties and variational tools

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, constitute the first step to understand semi-Riemannian Geometry. The progress in the last two decades has become impressive, being especially relevant the systematic introduction of (infinite-dimensional) …