activity
20052022
most citedThe First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces

7 citations · 9 across the 5 of their papers we have counts for

collaborators

5 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.DG2014

On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or Quaternion-Kähler structure

Jean-Louis Milhorat

It is shown that on a compact spin symmetric space with a Kähler or Quaternion-Kähler structure, the first eigenvalue of the Dirac operator is linked to a ''{lowest}'' action of th…

math.DG2005★ 2 cited

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★ 7 cited

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 .