A new family of curvature homogeneous pseudo-Riemannian manifolds

Details A new family of curvature homogeneous pseudo-Riemannian manifolds A new family of curvature homogeneous pseudo-Riemannian manifolds

2006-11-15

arxiv.org/abs/math/0611448v2

Mathematics

Differential Geometry

Scientific paper

We construct a new family of curvature homogeneous pseudo-Riemannian manifolds modeled on $\mathbb{R}^{3k+2}$ for integers $k \geq 1$. In contrast to previously known examples, the signature may be chosen to be $(k+1+a, k+1+b)$ where $a,b \in \mathbb{N} \bigcup \{0\}$ and $a+b = k$. The structure group of the 0-model of this family is studied, and is shown to be indecomposable. Several invariants that are not of Weyl type are found which will show that, in general, the members of this family are not locally homogeneous.

Affiliated with

Also associated with

No associations

Rating

A new family of curvature homogeneous pseudo-Riemannian 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 A new family of curvature homogeneous pseudo-Riemannian manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new family of curvature homogeneous pseudo-Riemannian manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-55054