Generalized plane wave manifolds

Details Generalized plane wave manifolds Generalized plane wave manifolds

2005-05-12

arxiv.org/abs/math/0505253v1

Mathematics

Differential Geometry

Scientific paper

We show that generalized plane wave manifolds are complete, strongly geodesically convex, Osserman, Szabo, and Ivanov-Petrova. We show their holonomy groups are nilpotent and that all the local Weyl scalar invariants of these manifolds vanish. We construct isometry invariants on certain families of these manifolds which are not of Weyl type. Given k, we exhibit manifolds of this type which are k-curvature homogeneous but not locally homogeneous. We also construct a manifold which is weakly 1-curvature homogeneous but not 1-curvature homogeneous.

Affiliated with

Also associated with

No associations

Rating

Generalized plane wave 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 Generalized plane wave manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized plane wave manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-163214