3 papers
math.DG2024
Stability of non-diagonal Einstein metrics on homogeneous spaces
Valeria Gutiérrez
We consider the homogeneous space , where is an irreducible symmetric space and denotes diagonal embedding. Recently, Lauret and Will provided a complete…
math.DG2024
Generalized Ricci flow on aligned homogeneous spaces
Valeria Gutiérrez
The fixed points of the generalized Ricci flow are the Bismut Ricci flat metrics, i.e., a generalized metric on a manifold , where is a Riemannian metric and a c…
math.DG2023
Stability of standard Einstein metrics on homogeneous spaces of non-simple Lie groups
Valeria Gutiérrez, Jorge Lauret
The classification of compact homogeneous spaces of the form , where is a non-simple Lie group, such that the standard metric is Einstein is still open. The only known e…