38 citations · 119 across the 15 of their papers we have counts for
4 papers · 1 filter
The long-time behavior of the homogeneous pluriclosed flow
Romina M. Arroyo, Ramiro A. Lafuente
We study the asymptotic behavior of the pluriclosed flow in the case of left-invariant Hermitian structures on Lie groups. We prove that solutions on 2-step nilpotent Lie groups an…
The Ricci flow on solvmanifolds of real type
Christoph Böhm, Ramiro A. Lafuente
We show that for any solvable Lie group of real type, any homogeneous Ricci flow solution converges in Cheeger-Gromov topology to a unique non-flat solvsoliton, which is independen…
Real geometric invariant theory
Christoph Böhm, Ramiro A. Lafuente
For linear actions of real reductive Lie groups we prove the Kempf-Ness Theorem about closed orbits and the Kirwan-Ness Stratification Theorem of the null cone. Since our completel…
Immortal homogeneous Ricci flows
Christoph Böhm, Ramiro A. Lafuente
We show that for an immortal homogeneous Ricci flow solution any sequence of parabolic blow-downs subconverges to a homogeneous expanding Ricci soliton. This is established by cons…