Mathematics – Differential Geometry
Scientific paper
2002-07-06
Mathematics
Differential Geometry
9 pages, 12 references
Scientific paper
A Sim(n-1,1) affine manifold is an affine manifold whose linear holonomy is contained in the similarity lorentzian group but not in the lorentzian group. The class of similarity lorentzian affine manifolds is a small part in the nice class of conformally lorentzian flat manifolds. In this paper we show that a compact Sim(n-1,1) affine manifold is incomplete. We characterize the universal cover of radiant compact Sim(n-1,1) affine manifolds whose developing map is injective. Let q be the quadratic form which define the Sim(n-1,1) structure, using riemannian foliation theory, we classify compact radiant Sim(n-1,1) affine manifolds M such that D(M') the image of the universal cover M' of M by the developing map D is contained in the upper cone defined q
No associations
LandOfFree
Closed similarity lorentzian affine 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 Closed similarity lorentzian affine manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Closed similarity lorentzian affine manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-666029