4 citations · 21 across the 18 of their papers we have counts for
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Ricci curvature and Einstein metrics on aligned homogeneous spaces
Jorge Lauret, Cynthia Will
Let be a compact homogeneous space and assume that and have many simple factors. We show that the topological condition of having maximal third Betti number, in the…
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…
Einstein metrics on homogeneous spaces
Jorge Lauret, Cynthia Will
Given any compact homogeneous space with simple, we consider the new space , where denotes diagonal embedding, and study the existence, classificatio…
Bismut Ricci flat generalized metrics on compact homogeneous spaces (including a Corrigendum)
Jorge Lauret, Cynthia E. Will
A generalized metric on a manifold , i.e., a pair , where is a Riemannian metric and a closed -form, is a fixed point of the generalized Ricci flow if and only…
Harmonic 3-forms on compact homogeneous spaces
Jorge Lauret, Cynthia E. Will
The third real de Rham cohomology of compact homogeneous spaces is studied. Given with compact semisimple, we first show that each bi-invariant symmetric bilinear form…
Homogeneous Einstein metrics and local maxima of the Hilbert action
Jorge Lauret, Cynthia E. Will
In this short note, three infinite families of neutrally stable homogeneous Einstein metrics are ruled out as candidates for local maxima of the Hilbert action.