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

Jean-Louis Milhorat (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We give a formula for the first eigenvalue of the Dirac operator acting on spinor fields of a spin compact irreducible symmetric space $G/K$.

Domaines: Géométrie différentielle [math.DG]

Jean-Louis Milhorat. The First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces. Communications in Mathematical Physics, 2005, 259, pp.71-78. ⟨hal-00004038⟩