38 citations · 119 across the 15 of their papers we have counts for
20 papers
T^2-invariant Einstein metrics on closed 4-manifolds
Kyle Broder, Ramiro A. Lafuente
We construct -invariant Einstein metrics with positive Ricci curvature on #_m(S^2 x S^2) for every integer . These provide infinite family of Einstein metrics on closed $…
Non-compact Einstein manifolds with unimodular isometry group
Christoph Böhm, Ramiro A. Lafuente
We show that a negative Einstein manifold admitting a proper isometric action of a connected unimodular Lie group with compact, possibly singular, orbit space splits isometrically…
Ancient Ricci flows of bounded girth
Theodora Bourni, Timothy Buttsworth, Ramiro Lafuente +1
For each , we construct a 'pancake-like', -invariant ancient Ricci flow with positive curvature operator and bounded "girth", and we determine its asympt…
Hermitian manifolds with flat Gauduchon connections
Ramiro A. Lafuente, James Stanfield
We complete the classification of compact Hermitian manifolds admitting a flat Gauduchon connection. In particular, we establish a conjecture of Yang and Zheng, showing that apart…
Non-compact Einstein manifolds with symmetry
Christoph Böhm, Ramiro A. Lafuente
For Einstein manifolds with negative scalar curvature admitting an isometric action of a Lie group G with compact, smooth orbit space, we show the following rigidity result: The ni…
On the signature of the Ricci curvature on nilmanifolds
Romina M. Arroyo, Ramiro A. Lafuente
We completely describe the signatures of the Ricci curvature of left-invariant Riemannian metrics on arbitrary real nilpotent Lie groups. The main idea in the proof is to exploit a…