A prolongation of the conformal-Killing operator on quaternionic-Kahler manifolds

Details A prolongation of the conformal-Killing operator on quaternionic-Kahler manifolds A prolongation of the conformal-Killing operator on quaternionic-Kahler manifolds

2009-11-16

arxiv.org/abs/0911.3007v2

Mathematics

Differential Geometry

some proofs from the previous version are simplified

Scientific paper

A 2-form on a quaternionic-Kahler manifold (M, g) is called compatible (with the quaternionic structure) if it is a section of the direct sum bundle S^2(H) \oplus S^2(E). We construct a connection D on S^2(H) \oplus S^2(E)\oplus TM, which is a prolongation of the conformal-Killing operator acting on compatible 2-forms. We show that D is flat if and only if the quaternionic-Weyl tensor of (M,g) is zero. Consequences of this result are developed. We construct a skew-symmetric multiplication on the space of conformal-Killing 2-forms on (M,g) and we study its properties in connection with the subspace of compatible conformal-Killing 2-forms.

Affiliated with

Also associated with

No associations

Rating

A prolongation of the conformal-Killing operator on quaternionic-Kahler 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 A prolongation of the conformal-Killing operator on quaternionic-Kahler manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A prolongation of the conformal-Killing operator on quaternionic-Kahler manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-499158