Killing Forms on Symmetric Spaces

Details Killing Forms on Symmetric Spaces Killing Forms on Symmetric Spaces

2004-09-07

arxiv.org/abs/math/0409104v1

Differential Geometry and its Applications 24 (2006), 215-222

Mathematics

Differential Geometry

Scientific paper

10.1016/j.difgeo.2005.09.007

Killing forms on Riemannian manifolds are differential forms whose covariant
derivative is totally skew--symmetric. We show that a compact simply connected
symmetric space carries a non--parallel Killing $p$--form ($p\ge2$) if and only
if it isometric to a Riemannian product $S^k\times N$, where $S^k$ is a round
sphere and $k>p$.

Affiliated with

Also associated with

No associations

Rating

Killing Forms on Symmetric Spaces 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 Killing Forms on Symmetric Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Killing Forms on Symmetric Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-533204