The canonical 8-form on manifolds with holonomy group Spin(9)

Details The canonical 8-form on manifolds with holonomy group Spin(9) The canonical 8-form on manifolds with holonomy group Spin(9)

2009-11-05

arxiv.org/abs/0911.1079v1

Mathematics

Differential Geometry

Scientific paper

An explicit expression of the canonical 8-form on a Riemannian manifold with a Spin(9)-structure, in terms of the nine local symmetric involutions involved, is given. The list of explicit expressions of all the canonical forms related to Berger's list of holonomy groups is thus completed. Moreover, some results on Spin(9)-structures as G-structures defined by a tensor and on the curvature tensor of the Cayley planes, are obtained.

Affiliated with

Also associated with

No associations

Rating

The canonical 8-form on manifolds with holonomy group Spin(9) 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 The canonical 8-form on manifolds with holonomy group Spin(9), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The canonical 8-form on manifolds with holonomy group Spin(9) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418384