Traditionally, Lorentzian geometry has been used as a necessary
tool to understand general relativity, as well as to explore new
genuine geometric behaviors, far from classical Riemannian
techniques.Recent progress has attracted a renewed interest in this
theoryfor many researchers: long-standing global open problems have
been solved, outstanding Lorentzian spaces and groups have been
classified, new applications to mathematical relativity and high
energy physics have been found, and further connections with other
geometries have been developed.
Samplesof these fresh trends are presented in this volume, based
on contributions from the VI International Meeting on Lorentzian
Geometry, held at the University of Granada, Spain, in September,
2011. Topics such as geodesics, maximal, trapped and constant mean
curvature submanifolds, classifications of manifolds with relevant
symmetries, relations between Lorentzian and Finslerian geometries,
and applications to mathematical physics are included.
This book will be suitable for a broad audience of differential
geometers, mathematical physicists and relativists, and researchers
in the field."
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