Non-naturally reductive Einstein metrics on the compact simple Lie group $F_4$

Abstract

Based on the representation theory and the study on the involutions of compact simple Lie groups, we show that $F_4$ admits non-naturally reductive Einstein metrics.

References in corpus (3)

• Einstein Metrics on Group Manifolds and Cosets
• Homogeneous Einstein Metrics on SO(n)
• Homogeneous Einstein metrics on SU(n)

Cited by in corpus (1)

• On left-invariant Einstein Riemannian metrics that are not geodesic orbit