Curvature dependent lower bounds for the first eigenvalue of the Dirac operator

Details Curvature dependent lower bounds for the first eigenvalue of the Dirac operator Curvature dependent lower bounds for the first eigenvalue of the Dirac operator

2003-10-20

arxiv.org/abs/math/0310307v2

Mathematics

Differential Geometry

Latex2e, 14pp

Scientific paper

10.1016/j.geomphys.2003.11.002

Using Weitzenb\"ock techniques on any compact Riemannian spin manifold we
derive inequalities that involve a real parameter and join the eigenvalues of
the Dirac operator with curvature terms. The discussion of these inequalities
yields vanishing theorems for the kernel of the Dirac operator $D$ and lower
bounds for the spectrum of $D^2$ if the curvature satisfies certain conditions.

Affiliated with

Also associated with

No associations

Rating

Curvature dependent lower bounds for the first eigenvalue of the Dirac operator 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 Curvature dependent lower bounds for the first eigenvalue of the Dirac operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature dependent lower bounds for the first eigenvalue of the Dirac operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421196