https://neckpinch.com/authors/valeria-gutierrez/New arXiv papers by Valeria Gutiérrez, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2401.03332/arxiv:2401.03332Sat, 06 Jan 2024 00:00:00 GMTValeria Gutiérrez — The fixed points of the generalized Ricci flow are the Bismut Ricci flat metrics, i.e., a generalized metric (g,H) on a manifold M, where g is a Riemannian metric and H a closed 3-form, such that H is g-harmonic and Rc(g)=1/4 H_g². Given two standard Einstein homogeneous spaces Gᵢ/K, where each Gᵢ is a compact simple Lie group and K is a closed subgroup of them holding some extra assumption, we consider M = G₁ × G₂ / ΔK. Recently, Lauret and Will proved the existence of a Bismut Ricci flat metric on any of these spaces. We proved that this metric is always asymptotically stable for the generalized Ricci flow on M among a subset of G-invariant metrics and, if G₁ = G₂, then it is globally stable.Ricci flowGeneralized & G₂ flowsRicci-flat & Calabi–YauHomogeneous spaces