Progress in Lorentzian Geometry

Preface.- Semi Riemannian Nearly Khaler G X G.- Global flatness for asymptotically at spacetimes.- Isometric lightlike immersions in R x Qn+1, c,1.- The vacuum weighted Einstein field equations on pure radiation waves.- Conformally Einstein Lorentzian Lie groups.- Causal ladder of Finsler spacetimes with a cone Killing vector field.- A geometric reduction method for some fully nonlinear first order PDEs on semi-Riemannian manifolds.- Mean curvature, singularities and time functions in cosmology.- C0-inextendibility of FLRW spacetimes within a subclass of axisymmetric spacetimes.- Spacelike causal boundary at nite distance and continuous extension of the metric: second preliminary report.- From Lorentzian manifolds to signature-type change with singular transverse metrics.- Constant angle surfaces in I x f R2,1 with a null principal direction.- Vacuum cosmological spacetimes without CMC Cauchy surfaces.- On pseudo-parallel surfaces.- Introduction to Kundt spaces.- Topologies on the future causal completion.- On the application of Lorentz-Finsler geometry to model wave propagation.- The ladder of Finsler-type objects and their variational problems on spacetimes.- Compact plane waves with parallel Weyl curvature.- Author Index.