C. Will

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math.DG2025

Einstein metrics on aligned homogeneous spaces with two factors

Jorge Lauret, Cynthia Will

Given two homogeneous spaces of the form G_1/K and G_2/K, where G_1 and G_2 are compact simple Lie groups, we study the existence problem for G_1xG_2-invariant Einstein metrics on…

math.DG2024

Ricci curvature and Einstein metrics on aligned homogeneous spaces

Jorge Lauret, Cynthia Will

Let $M = G / K$ be a compact homogeneous space and assume that $G$ and $K$ have many simple factors. We show that the topological condition of having maximal third Betti number, in the…

math.DG2024

Einstein metrics on homogeneous spaces $H \times H / I^ K$

Jorge Lauret, Cynthia Will

Given any compact homogeneous space $H / K$ with $H$ simple, we consider the new space $M = H \times H / I^ K$ , where $I^ K$ denotes diagonal embedding, and study the existence, classificat…

Einstein metrics on aligned homogeneous spaces with two factors

Ricci curvature and Einstein metrics on aligned homogeneous spaces

Einstein metrics on homogeneous spaces H×H/I^K

Einstein metrics on homogeneous spaces $H \times H / I^ K$