The decomposition of global conformal invariants VI: The proof of the proposition on local Riemannian invariants

Details The decomposition of global conformal invariants VI: The proof of the proposition on local Riemannian invariants The decomposition of global conformal invariants VI: The proof of the proposition on local Riemannian invariants

2009-12-18

arxiv.org/abs/0912.3765v1

Mathematics

Differential Geometry

235 pages; replaced the old preprint by six papers

Scientific paper

This is the last in a series of papers where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ``global conformal invariants''; these are defined to be conformally invariant integrals of geometric scalars. The conjecture asserts that the integrand of any such integral can be expressed as a linear combination of a local conformal invariant, a divergence and of the Chern-Gauss-Bonnet integrand. The present paper, jointly with [6,7] gives a proof of an algebraic Proposition regarding local Riemannian invariants, which lies at the heart of our resolution of the Deser-Schwimmer conjecture. This algebraic Propositon may be of independent interest, applicable to related problems.

Affiliated with

Also associated with

No associations

Rating

The decomposition of global conformal invariants VI: The proof of the proposition on local Riemannian invariants 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 decomposition of global conformal invariants VI: The proof of the proposition on local Riemannian invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The decomposition of global conformal invariants VI: The proof of the proposition on local Riemannian invariants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350205