The conformal-Killing equation on G2 and Spin7 structures

Details The conformal-Killing equation on G2 and Spin7 structures The conformal-Killing equation on G2 and Spin7 structures

2010-06-28

arxiv.org/abs/1006.5386v1

Mathematics

Differential Geometry

16 pages

Scientific paper

Let M be a 7-manifold with a G2-structure defined by \phi \in\Omega^{3}_{+}(M). We prove that {\phi} is conformal-Killing with respect to the associated metric g(\phi) if and only if the G2-structure is nearly parallel. Let M be an 8-manifold with a Spin7-structure defined by \psi \in\Omega^{4}_{+}(M). We prove that {\psi} is conformal-Killing with respect to the associated metric g(\psi) if and only if the Spin7-structure is parallel.

Affiliated with

Also associated with

No associations

Rating

The conformal-Killing equation on G2 and Spin7 structures 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 conformal-Killing equation on G2 and Spin7 structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The conformal-Killing equation on G2 and Spin7 structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-617377