Weyl homogeneous manifolds modeled on compact Lie groups

Details Weyl homogeneous manifolds modeled on compact Lie groups Weyl homogeneous manifolds modeled on compact Lie groups

2009-12-30

arxiv.org/abs/0912.5472v1

Mathematics

Differential Geometry

9 pages

Scientific paper

A Riemannian manifold is called Weyl homogeneous, if its Weyl tensors at any two points are "the same", up to a positive multiple. A Weyl homogeneous manifold is modeled on a homogeneous space $M_0$, if its Weyl tensor at every point is "the same" as the Weyl tensor of $M_0$, up to a positive multiple. We prove that a Weyl homogeneous manifold $M^n, n \ge 4$, modeled on an irreducible symmetric space $M_0$ of types II or IV (compact simple Lie group with a bi-invariant metric or its noncompact dual) is conformally equivalent to $M_0$.

Affiliated with

Also associated with

No associations

Rating

Weyl homogeneous manifolds modeled on compact Lie groups 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 Weyl homogeneous manifolds modeled on compact Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weyl homogeneous manifolds modeled on compact Lie groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-34196