Harmonic spinors and local deformations of the metric

Details Harmonic spinors and local deformations of the metric Harmonic spinors and local deformations of the metric

2009-03-26

arxiv.org/abs/0903.4544v3

Mathematics

Differential Geometry

minor changes, to appear in Mathematical Research Letters

Scientific paper

Let (M,g) be a compact Riemannian spin manifold. The Atiyah-Singer index
theorem yields a lower bound for the dimension of the kernel of the Dirac
operator. We prove that this bound can be attained by changing the Riemannian
metric g on an arbitrarily small open set.

Affiliated with

Also associated with

No associations

Rating

Harmonic spinors and local deformations of the metric 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 Harmonic spinors and local deformations of the metric, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harmonic spinors and local deformations of the metric will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-64504