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2023

Journal Article

Hermitian manifolds with flat Gauduchon connections

Lafuente, Ramiro A. and Stanfield, James (2023). Hermitian manifolds with flat Gauduchon connections. Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, 25 (4), 11-2258. doi: 10.2422/2036-2145.202210_005

Hermitian manifolds with flat Gauduchon connections

2023

Journal Article

Non-compact Einstein manifolds with symmetry

Böhm, Christoph and Lafuente, Ramiro A. (2023). Non-compact Einstein manifolds with symmetry. Journal of the American Mathematical Society, 36 (3), 591-651. doi: 10.1090/jams/1022

Non-compact Einstein manifolds with symmetry

2022

Journal Article

On the signature of the Ricci curvature on nilmanifolds

Arroyo, Romina M. and Lafuente, Ramiro A. (2022). On the signature of the Ricci curvature on nilmanifolds. Transformation Groups, 29 (1), 1-15. doi: 10.1007/s00031-021-09686-5

On the signature of the Ricci curvature on nilmanifolds

2022

Journal Article

Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds

Boehm, Christoph and Lafuente, Ramiro A. (2022). Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds. Geometry and Topology, 26 (2), 899-936. doi: 10.2140/gt.2022.26.899

Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds

2021

Book Chapter

Real geometric invariant theory

Böhm, C. and Lafuente, R. A. (2021). Real geometric invariant theory. Differential geometry in the large. (pp. 11-49) edited by Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky, Thomas Leistner and Diarmuid Crowley. Cambridge, United Kingdom: Cambridge University Press. doi: 10.1017/9781108884136.003

Real geometric invariant theory

2020

Journal Article

Hermitian curvature flow on unimodular Lie groups and static invariant metrics

Lafuente, Ramiro A., Pujia, Mattia and Vezzoni, Luigi (2020). Hermitian curvature flow on unimodular Lie groups and static invariant metrics. Transactions of the American Mathematical Society, 373 (6), 3967-3993. doi: 10.1090/tran/8068

Hermitian curvature flow on unimodular Lie groups and static invariant metrics

2019

Journal Article

The Ricci flow on solvmanifolds of real type

Böhm, Christoph and Lafuente, Ramiro A. (2019). The Ricci flow on solvmanifolds of real type. Advances in Mathematics, 352, 516-540. doi: 10.1016/j.aim.2019.06.014

The Ricci flow on solvmanifolds of real type

2019

Journal Article

The long-time behavior of the homogeneous pluriclosed flow

Arroyo, Romina M. and Lafuente, Ramiro A. (2019). The long-time behavior of the homogeneous pluriclosed flow. Proceedings of the London Mathematical Society, 119 (1), 266-289. doi: 10.1112/plms.12228

The long-time behavior of the homogeneous pluriclosed flow

2017

Journal Article

Optimal curvature estimates for homogeneous Ricci flows

Böhm, Christoph, Lafuente, Ramiro and Simon, Miles (2017). Optimal curvature estimates for homogeneous Ricci flows. International Mathematics Research Notices, 2019 (14), 4431-4468. doi: 10.1093/imrn/rnx256

Optimal curvature estimates for homogeneous Ricci flows

2017

Journal Article

Immortal homogeneous Ricci flows

Böhm, Christoph and Lafuente, Ramiro A. (2017). Immortal homogeneous Ricci flows. Inventiones mathematicae, 212 (2), 461-529. doi: 10.1007/s00222-017-0771-z

Immortal homogeneous Ricci flows

2017

Journal Article

The Alekseevskii conjecture in low dimensions

Arroyo, Romina M. and Lafuente, Ramiro A. (2017). The Alekseevskii conjecture in low dimensions. Mathematische Annalen, 367 (1-2), 283-309. doi: 10.1007/s00208-016-1386-1

The Alekseevskii conjecture in low dimensions

2014

Journal Article

On homogeneous warped product Einstein metrics

Lafuente, Ramiro A. (2014). On homogeneous warped product Einstein metrics. Bulletin of the London Mathematical Society, 47 (1), 118-126. doi: 10.1112/blms/bdu103

On homogeneous warped product Einstein metrics

2014

Journal Article

Structure of homogeneous Ricci solitons and the Alekseevskii conjecture

Lafuente, Ramiro and Lauret, Jorge (2014). Structure of homogeneous Ricci solitons and the Alekseevskii conjecture. Journal of Differential Geometry, 98 (2), 315-347. doi: 10.4310/jdg/1406552252

Structure of homogeneous Ricci solitons and the Alekseevskii conjecture

2014

Journal Article

Scalar Curvature Behavior of Homogeneous Ricci Flows

Lafuente, Ramiro A. (2014). Scalar Curvature Behavior of Homogeneous Ricci Flows. The Journal of Geometric Analysis, 25 (4), 2313-2322. doi: 10.1007/s12220-014-9514-1

Scalar Curvature Behavior of Homogeneous Ricci Flows

2014

Journal Article

Homogeneous Ricci solitons in low dimensions

Arroyo, Romina M. and Lafuente, Ramiro (2014). Homogeneous Ricci solitons in low dimensions. International Mathematics Research Notices, 2015 (13), 4901-4932. doi: 10.1093/imrn/rnu088

Homogeneous Ricci solitons in low dimensions

2014

Journal Article

On homogeneous Ricci solitons

Lafuente, R. and Lauret, J. (2014). On homogeneous Ricci solitons. The Quarterly Journal of Mathematics, 65 (2), 399-419. doi: 10.1093/qmath/hat028

On homogeneous Ricci solitons

2013

Journal Article

Solvsolitons associated with graphs

Lafuente, Ramiro A. (2013). Solvsolitons associated with graphs. Advances in Geometry, 13 (2), 255-275. doi: 10.1515/advgeom-2012-0032

Solvsolitons associated with graphs