Dirac eigenvalues and total scalar curvature

Details Dirac eigenvalues and total scalar curvature Dirac eigenvalues and total scalar curvature

1999-09-11

arxiv.org/abs/math/9909061v1

J. Geom. Phys. 33, 229-234 (2000)

Mathematics

Differential Geometry

9 pages, LaTeX, uses pstricks macro package. to appear in Journal of Geometry and Physics

Scientific paper

10.1016/S0393-0440(99)00050-9

It has recently been conjectured that the eigenvalues $\lambda$ of the Dirac
operator on a closed Riemannian spin manifold $M$ of dimension $n\ge 3$ can be
estimated from below by the total scalar curvature: $$ \lambda^2 \ge
\frac{n}{4(n-1)} \cdot \frac{\int_M S}{vol(M)}. $$ We show by example that such
an estimate is impossible.

Affiliated with

Also associated with

No associations

Rating

Dirac eigenvalues and total scalar curvature 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 Dirac eigenvalues and total scalar curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dirac eigenvalues and total scalar curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-248383