Holonomy of Einstein Lorentzian manifolds

Details Holonomy of Einstein Lorentzian manifolds Holonomy of Einstein Lorentzian manifolds

2009-06-07

arxiv.org/abs/0906.1327v3

Class. Quant. Grav. 27:075008,2010

Mathematics

Differential Geometry

Dedicated to to Mark Volfovich Losik on his 75th birthday. This version is an extended part of the previous version; another p

Scientific paper

10.1088/0264-9381/27/7/075008

The classification of all possible holonomy algebras of Einstein and vacuum Einstein Lorentzian manifolds is obtained. It is shown that each such algebra appears as the holonomy algebra of an Einstein (resp., vacuum Einstein) Lorentzian manifold, the direct constructions are given. Also the holonomy algebras of totally Ricci-isotropic Lorentzian manifolds are classified. The classification of the holonomy algebras of Lorentzian manifolds is reviewed and a complete description of the spaces of curvature tensors for these holonomies is given.

Affiliated with

Also associated with

No associations

Rating

Holonomy of Einstein 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 Holonomy of Einstein Lorentzian manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holonomy of Einstein Lorentzian manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369904