Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length

Details Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length

2003-05-09

arxiv.org/abs/math/0305140v2

C. R. Math. Acad. Sci. Paris 338 (2004), 561-564

Mathematics

Differential Geometry

Scientific paper

10.1016/j.crma.2004.01.030

We prove that on a compact $n$-dimensional spin manifold admitting a non-trivial harmonic 1-form of constant length, every eigenvalue $\lambda$ of the Dirac operator satisfies the inequality $\lambda^2 \geq \frac{n-1}{4(n-2)}\inf_M Scal$. In the limiting case the universal cover of the manifold is isometric to $R\times N$ where $N$ is a manifold admitting Killing spinors.

Affiliated with

Also associated with

No associations

Rating

Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length 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 Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-719609