The First Eigenvalue of the Dirac Operator on Compact Outer Spin Symmetric Spaces

Jean-Louis Milhorat (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

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.

Domaines: Géométrie différentielle [math.DG]

Jean-Louis Milhorat. The First Eigenvalue of the Dirac Operator on Compact Outer Spin Symmetric Spaces. 2019. ⟨hal-02276827⟩