4 papers
math.DG2022
A Remark on the First Eigenvalue of the Laplace Operator on 1-forms for Compact Inner Symmetric Spaces
Jean-Louis Milhorat
We remark that on a compact inner symmetric space , indowed with the Riemmannian metric given by the Killing form of signed-changed, the first (non-zero) eigenvalue of the…
math.DG2019
The First Eigenvalue of the Dirac Operator on Compact Outer Spin Symmetric Spaces
Jean-Louis Milhorat
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 formul…
math.DG2005
A formula for the First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces
Jean-Louis Milhorat
Let be a simply connected spin compact inner irreducible symmetric space, endowed with the metric induced by the Killing form of sign-changed. We give a formula for the s…
math.DG2005
The First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces
Jean-Louis Milhorat
We give a formula for the first eigenvalue of the Dirac operator acting on spinor fields of a spin compact irreducible symmetric space .