165 citations · 1.1k across the 59 of their papers we have counts for
4 papers · 1 filter
Causal hierarchy of spacetimes, temporal functions and smoothness of Geroch's splitting. A revision
Miguel Sánchez
After the heroic epoch of Causality Theory, problems concerning the smoothability of time functions and Cauchy hypersurfaces remained as unanswered folk questions. Just recently so…
On the geometry of pp-wave type spacetimes
José Luis Flores, Miguel Sánchez
Global geometric properties of product manifolds , endowed with a metric type (where $<\cdot,…
On the Geometry of Static Spacetimes
Miguel Sanchez
We review geometrical properties of a static spacetime , including geodesic completeness, causality, standard splittings, compact , closed geodesics and geodesic connecte…
Smooth globally hyperbolic splittings and temporal functions
Antonio N. Bernal, Miguel Sánchez
Geroch's theorem about the splitting of globally hyperbolic spacetimes is a central result in global Lorentzian Geometry. Nevertheless, this result was obtained at a topological le…