Scalar curvature and vector bundles

Details Scalar curvature and vector bundles Scalar curvature and vector bundles

2012-02-20

arxiv.org/abs/1202.4325v1

Mathematics

Differential Geometry

arXiv admin note: substantial text overlap with arXiv:1007.3166

Scientific paper

In the first part we use Gromov's K--area to define the K--area homology which stabilizes into singular homology on the category of pairs of compact smooth manifolds. The second part treats the questions of certain curvature gaps. For instance, the $L^\infty $--curvature gap of complex vector bundles on a compact manifold is positive if and only if the K--area homology coincides with the reduced singular homology in all even degrees. In the third part we give some upper bounds of the scalar curvature on compact manifolds. In particular, we generalize results by Llarull and Goette, Semmelmann.

Affiliated with

Also associated with

No associations

Rating

Scalar curvature and vector bundles 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 Scalar curvature and vector bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scalar curvature and vector bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-564845