Preprints

58. Einstein metrics on homogeneous spaces M=HxH/K, with Cynthia Will, preprint 2024.

Published articles

2022 - 

57. Stability of standard Einstein metrics on homogeneous spaces of non-simple Lie groups, with Valeria Gutiérrez, Collectanea Mathematica, in press.  arXiv

56. Bismut Ricci flat generalized metrics on compact homogeneous spaces, with Cynthia Will, Transactions of the American Mathematical Society 376 (2023), 7495-7519.  arXiv

55. Harmonic 3-forms on compact homogeneous spaces, with Cynthia Will, The Journal of Geometric Analysis, in press.  arXiv

54. The stability os standard homogeneous Einstein manifolds, with Emilio A. Lauret, Mathematische Zeitschrift  303, 16 (2023).  Article

53. Homogeneous Einstein metrics and local maxima of the Hilbert action, with Cynthia Will, Journal of Geometry and Physics 178 (2022), 104544.  Article

52. On the stability of homogeneous Einstein manifolds II, with Cynthia Will, Journal of the London Mathematical Society 106 (2022), 3638-3669.   Article

51. On the stability of homogeneous Einstein manifolds,  The Asian Journal of Mathematics 26 (2022), 555-584.  arXiv

50. Prescribing Ricci curvature on homogeneous spaces, with Cynthia Will, Journal für die reine und angewandte Mathematik 783 (2022), 95-133.  Article

2017 - 2021

49. A new example of a compact ERP G2-structure, with Ines Kath, Bulletin of the London Mathematical Society 53 (2021),1692-1710.  Article

48. The search for solitons on homogeneous spaces, Abel Symposia 16 (2019), 147-170, Springer. Article

47. On Ricci negative Lie groups, with Cynthia Will, Abel Symposia 16 (2019), 171-191, Springer. Article

46. The classification of ERP G2-structures on Lie groups, with Marina Nicolini, Annali di Matematica Pura ed Applicata 199 (2020), 2489-2510. Article

45. Finding solitons, Notices of the American Mathematical Society, May 2020. Article

44. Extremally Ricci pinched G2-structures on Lie groups, with Marina Nicolini, Communications in Analysis and Geometry, in press. arXiv

43. The Ricci pinching functional on solvmanifolds II, with Cynthia Will, Proceedings of the American Mathematical Society 148, Number 6 (2020), 2601-2607.  Article

42. The Ricci pinching functional on solvmanifolds, with Cynthia Will, Quarterly Journal of Mathematics 70 (2019), 1281-1304. Article 

41. On Ricci negative solvmanifolds and their nilradicals, with Jonas Deré, Mathematische Nachrichten 292 (2019), 1462-1481. Article   

40. Distinguished G2-structures on solvmanifolds, Lectures and Surveys on G2-Manifolds and Related Topics. Fields Institute Communications (Springer), vol 84 (2020), 217-233. Article

39. Laplacian solitons: Questions and homogeneous examples, Differential Geometry and its Applications 54 (2017), 345-360.  Article

38. Laplacian flow of homogeneous G2-structures and its solitons, Proceedings of the London Mathematical Society 114 (2017), 527-560.  Article 

37. On the symplectic curvature flow for locally homogeneous manifolds, with Cynthia Will, Journal of Symplectic Geometry 15 (2017), 1-49.  Article

2012 - 2016

36. Geometric flows and their solitons on homogeneous spaces, Rendiconti del Seminario Matematico di Torino 74 (2016), 55-93.  A workshop in memory of our colleague and friend Sergio Console, Torino, February 2015. Article

35. On the Chern-Ricci flow and its solitons for Lie groups, with Edwin Alejandro Rodríguez Valencia, Mathematische Nachrichten 288 (2015), 1512 - 1526. Article

34. Curvature flows for almost-hermitian Lie groups, Transactions of the AMS  367 (2014), 7453-7480. Article

33. On nonsingular 2-step nilpotent Lie algebras, with David Oscari, Mathematical Research Letters 21 (2014), 553–583. Article

32. Structure of homogeneous Ricci solitons and the Alekseevskii conjecture, with Ramiro Lafuente, Journal of Differential Geometry 98 (2014), 315-347. Article

31. On homogeneous Ricci solitons, with Ramiro Lafuente, Quarterly Journal of Mathematics 65 (2014), 399-419. Article

30. Ricci flow of homogeneous manifolds, Mathematische Zeitschrift 274 (2013), 373–403. Article

29. On the diagonalization of the Ricci flow on Lie groups, with Cynthia Will, Proceedings of the American Mathematical Society 141 (2013),3651–3663.  Article

28. Convergence of homogeneous manifolds, Journal of the London Mathematical Society 86 (2012), 701–727. Article

27. Quasi-Kähler Chern-flat manifolds and complex 2-step nilpotent Lie algebras, with Antonio J. Di Scala and Luigi Vezzoni, Annali della Scuola Normale Superiore di Pisa XI (2012), 41-60. Article

2007 - 2011

26. The Ricci flow for simply connected nilmanifolds, Communications in Analysis and Geometry 19 (2011), 831-854.  Article

25. Ricci soliton solvmanifolds, Journal für die reine und angewandte Mathematik 650 (2011), 1-21.  Article

24. Einstein solvmanifolds: existence and non-existence questions, with Cynthia Will, Mathematische Annalen 350 (2011), 199-225. Article

23. Einstein solvmanifolds are standard, Annals of Mathematics 172 (2010), 1859-1877. Article

22. Weak mirror symmetry of Lie algebras, with Richard Cleyton and Yat-Sun Poon, Journal of Symplectic Geometry 8 (2010), 37-55. Article

21. Einstein solvmanifolds and nilsolitons, Contemporary Mathematics 491 (2009), 1-37, Proceedings of the `Sixth Workshop on Lie Theory and Geometry´, Córdoba, November 2007 (survey). arXiv

20. Nilmanifolds of dimension ≤ 8 admitting Anosov diffeomorphisms, with Cynthia Will, Transactions of the AMS 361 (2009), 2377-2395. Article

19. On Anosov automorphisms of nilmanifolds, with Cynthia Will, Journal of Pure and Applied Algebra 212 (2008), 1747-1755. Article

18. On rational forms of nilpotent Lie algebras, Monatshefte fur Mathematik 155 (2008), 15-30. Article

2002 - 2006

17. A canonical compatible metric for geometric structures on nilmanifolds, Annals of Global Analysis and Geometry 30 (2006), 107-138.

16. Minimal metrics on nilmanifolds, Proc. Diff. Geom. App., Prague, Sept. 2004 (2005), 77-94. arXiv 

15. Weak symmetry in naturally reductive homogeneous nilmanifolds, Rocky Mountains Journal of Mathematics 34 (2004), no. 1.

14. On the moment map fo the variety of Lie algebras, Journal of Functional Analysis 202 (2003), 392-423.

13. Examples of Anosov diffeomorphisms, Journal of Algebra 262 (2003), 201-209.

12. Degenerations of Lie algebras and geometry of Lie groups, Differential Geometry and its Applications 18 (2003), 177-194.

11. Finding Einstein solvmanifolds by a variational method, Mathematische Zeitschrift 241 (2002), 83-99.

1997 - 2001

10. Standard Einstein solvmanifolds as critical points, Quarterly Journal of Mathematics 52 (2001), 463-470.

9. Ricci soliton homogeneous nilmanifolds, Mathematische Annalen 319 (2001), 715-733.

8. The variety of Lie algebras from certain riemannian viewpoint, Contemporary Mathematics 288 (2001), 363-370.

7. Gelfand pairs attached to representations of compact Lie groups, Transformation Groups 5 (2000) 307-324.

6. Homogeneous nilmanifolds attached to representations of compact Lie groups, Manuscripta Mathematica 99 (1999), 287-309.

5. Naturally reductive homogeneous structures on 2-step nilpotent Lie groups, Revista de la UMA 41 no. 2 (1998), 15-23.

4. Curvature properties of solvable extensions of H-type groups, with Isabel Dotti, Rendiconti di Matematica, Serie VII, Volume 18, Roma (1998), 167-179.

3. Modified H-type groups and symmetric-like Riemannian spaces, Differential Geometry and its Applications 10 (1999), 121-143.

2. Commutative spaces which are not weakly symmetric, Bulletin of the London Mathematical Society 30 (1998), 29-36.

1. Homogeneous nilmanifolds of dimension 3 and 4, Geometriae Dedicata 68 (1997), 145-155.

Short surveys 

4. Evolución geométrica de curvas y métricas, Actas del XI Congreso Dr. Antonio Monteiro, Bahía Blanca, May 2011 (in spanish).  Article

3. Sobre la clasificación de álgebras, Anales de la Academia Nacional de Ciencias Exactas, Físicas y Naturales (Buenos Aires) (in spanish).  

2. Ricci soliton solvmanifolds, Oberwolfach Reports, conference "Geometrie", July 2008.  

1. Einstein homogeneous manifolds and geometric invariant theory, Proceedings of "Geometry related to Integrable Systems", RIMS, Kyoto University, September 2007.