The First Eigenvalue of the Dirac Operator on Compact Outer Spin Symmetric Spaces
Differential Geometry
2019-09-19 v1
Abstract
In two previous papers, we started a study of the first eigenvalue of the Dirac operator on compact spin symmetric spaces, providing, for symmetric spaces of "inner" type, a formula giving this first eigenvalue in terms of the algebraic data of the groups involved. We conclude here that study by giving the explicit expression of the first eigenvalue for "outer" compact spin symmetric spaces.
Keywords
Cite
@article{arxiv.1909.08283,
title = {The First Eigenvalue of the Dirac Operator on Compact Outer Spin Symmetric Spaces},
author = {Jean-Louis Milhorat},
journal= {arXiv preprint arXiv:1909.08283},
year = {2019}
}