The Kato square root problem on vector bundles with generalised bounded geometry

Details The Kato square root problem on vector bundles with generalised bounded geometry The Kato square root problem on vector bundles with generalised bounded geometry

2012-03-02

arxiv.org/abs/1203.0373v2

Mathematics

Analysis of PDEs

Scientific paper

We consider smooth, complete Riemannian manifolds which are exponentially locally doubling. Under a uniform Ricci curvature bound and a uniform lower bound on injectivity radius, we prove a Kato square root estimate for certain coercive operators over the bundle of finite rank tensors. These results are obtained as a special case of similar estimates on smooth vector bundles satisfying a criterion which we call generalised bounded geometry. We prove this by establishing quadratic estimates for perturbations of Dirac type operators on such bundles under an appropriate set of assumptions.

Affiliated with

Also associated with

No associations

Rating

The Kato square root problem on vector bundles with generalised bounded geometry 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 Kato square root problem on vector bundles with generalised bounded geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Kato square root problem on vector bundles with generalised bounded geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-165950