On the full holonomy group of special Lorentzian manifolds

Details On the full holonomy group of special Lorentzian manifolds On the full holonomy group of special Lorentzian manifolds

2012-04-25

arxiv.org/abs/1204.5657v1

Mathematics

Differential Geometry

29 pages

Scientific paper

We study the full holonomy group of Lorentzian manifolds with a parallel null line bundle. We prove several results that are based on the classification of the restricted holonomy groups of such manifolds and provide a construction method for manifolds with disconnected holonomy which starts from a Riemannian manifold and a properly discontinuous group of isometries. Most of our examples are quotients of pp-waves with disconnected holonomy and without parallel vector field. Furthermore, we classify the full holonomy groups of solvable Lorentzian symmetric spaces and of Lorentzian manifolds with a parallel null spinor. Finally, we construct examples of globally hyperbolic manifolds with complete spacelike Cauchy hypersurfaces, disconnected full holonomy and a parallel spinor.

Affiliated with

Also associated with

No associations

Rating

On the full holonomy group of special Lorentzian manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the full holonomy group of special Lorentzian manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the full holonomy group of special Lorentzian manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-138846