Contains contributions from leaders in the field of Lorentzian Geometry

Presents material on pure and applied Lorentzian Geometry such as geodesics, submanifolds, causality, black holes, geometry of spacetimes or AdS-CFT correspondence

Serves differential geometers, mathematical physicists and relativists ?

Includes supplementary material: [...]

Hyperbolic metrics on Riemann surfaces and spacelike CMC-1 surfaces in de Sitter 3-space, Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara and Kotaro Yamada. - Bernstein results and parabolicity of maximal surfaces in Lorentzian product spaces, Alma L. Albujer and Luis J. Alías, Calabi. - Umbilical-Type Surfaces in Spacetime, José M. M. Senovilla. - Stability of marginally outer trapped surfaces and applications, Marc Mars. - Area inequalities for stable marginally trapped surfaces, José Luis Jaramillo. - Infinitesimal and local convexity of a hypersurface in a semi-Riemannian manifold, Erasmo Caponio. - Global geodesic properties of Gödel type spacetimes, R. Bartolo, A.M. Candela and J.L. Flores.- The geometry of collapsing isotropic fluids, Roberto Giamb`o and Giulio Magli. - Conformally standard stationary spacetimes and Fermat metrics, Miguel Ángel Javaloyes. - Can we make a Finsler metric complete by a trivial projective change? Vladimir S. Matveev. - The c-boundary construction of spacetimes: application to stationary Kerr spacetime, J.L. Flores and J. Herrera. - On the isometry group of Lorentz manifolds, Leandro A. Lichtenfelz, Paolo Piccione, and Abdelghani Zeghib. - Conformally flat homogeneous Lorentzian Manifolds, Kyoko Honda and Kazumi Tsukada. - Polar actions on symmetric spaces, José Carlos Díaz-Ramos. - (para)-Kähler Weyl structures, P. Gilkey and S. Nik¿evi¿