Positive mass theorem for the Paneitz-Branson operator

Details Positive mass theorem for the Paneitz-Branson operator Positive mass theorem for the Paneitz-Branson operator

2008-07-15

arxiv.org/abs/0807.2432v1

Calculus of Variations and Partial Differential Equations 36, 4 (2009) 525-531

Mathematics

Differential Geometry

7 pages

Scientific paper

10.1007/s00526-009-0241-6

We prove that under suitable assumptions, the constant term in the Green
function of the Paneitz-Branson operator on a compact Riemannian manifold
$(M,g)$ is positive unless $(M,g)$ is conformally diffeomophic to the standard
sphere. The proof is inspired by the positive mass theorem on spin manifolds by
Ammann-Humbert.

Affiliated with

Also associated with

No associations

Rating

Positive mass theorem for the Paneitz-Branson operator 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 Positive mass theorem for the Paneitz-Branson operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positive mass theorem for the Paneitz-Branson operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-596629