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math.DG2012
Scalar curvature behavior of homogeneous Ricci flows
Ramiro A. Lafuente
We prove that the scalar curvature of a homogeneous Ricci flow solution blows up at a forward or backward finite-time singularity.
math.DG2012
Structure of homogeneous Ricci solitons and the Alekseevskii conjecture
Ramiro Lafuente, Jorge Lauret
We bring new insights into the long-standing Alekseevskii conjecture, namely that any connected homogeneous Einstein manifold of negative scalar curvature is diffeomorphic to a Euc…
math.DG2012★ 7 cited
On homogeneous Ricci solitons
Ramiro Lafuente, Jorge Lauret
We study the evolution of homogeneous Ricci solitons under the bracket flow, a dynamical system on the space of all homogeneous spaces of dimension n with a q-dimensional isotropy,…