A formula for the First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces

Details A formula for the First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces A formula for the First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces

2005-01-24

arxiv.org/abs/math/0501411v1

Mathematics

Differential Geometry

Scientific paper

10.1063/1.2186924

Let $G/K$ be a simply connected spin compact inner irreducible symmetric space, endowed with the metric induced by the Killing form of $G$ sign-changed. We give a formula for the square of the first eigenvalue of the Dirac operator in terms of a root system of $G$. As an example of application, we give the list of the first eigenvalues for the spin compact irreducible symmetric spaces endowed with a quaternion-K\"{a}hler structure.

Affiliated with

Also associated with

No associations

Rating

A formula for the First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces 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 A formula for the First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A formula for the First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-312838