40 citations · 179 across the 36 of their papers we have counts for
47 papers
Compact homogeneous complex manifolds
Jorge Lauret
We study both the complex and Hermitian geometry of C-spaces, i.e., compact homogeneous spaces M=G/K admitting a G-invariant complex structure. Some results on Hodge, Bott-Chern an…
Pluriclosed metrics on compact semisimple Lie groups
Jorge Lauret, Facundo Montedoro
Given a compact semisimple Lie group G and a maximal torus T of G, we give an explicit description of all left and Ad(T)-invariant pluriclosed Hermitian structures on G in terms of…
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…
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…