Mathematics – Differential Geometry
Scientific paper
2004-06-16
Mathematics
Differential Geometry
32 pages, 3 tables
Scientific paper
We introduce in this paper normal twistor equations for differential forms and study their solutions, the so-called normal conformal Killing forms. The twistor equations arise naturally from the canonical normal Cartan connection of conformal geometry. Reductions of its holonomy are related to solutions of the normal twistor equations. The case of decomposable normal conformal holonomy representations is discussed. A typical example with an irreducible holonomy representation are the so-called Fefferman spaces. We also apply our results to describe the geometry of solutions with conformal Killing spinors on Lorentzian spin manifolds.
No associations
LandOfFree
Normal Conformal Killing Forms 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 Normal Conformal Killing Forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Normal Conformal Killing Forms will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-219418