Research

Preneu seient, companys, parlarem de Bellesa.

Uns la busquen en els primers brots de la Primavera.

Uns juren haver-la vist en fórmules matemàtiques,

surant en l'harmonia de les esferes.

(Manel, Jo competeixo)

Research Interests

Manifolds with special holonomy and special geometric structures
Rational homotopy theory and its connections with geometric structures

Preprints

Working hard!!

Accepted papers

Moduli spaces of (co)closed G2-structures on nilmanifolds (with A. Gil García), to appear in Q. J. Math.
Complex symplectic Lie algebras with large Abelian subalgebras (with M. Freibert, A. Latorre and N. Tardini), Linear Algebra Appl. 677, 254-305 (arXiv)
Spin-harmonic structures and nilmanifolds (with L. Martín Merchán and V. Muñoz), to appear in Comm. Anal. Geom.
Purely coclosed G2-structures on nilmanifolds (with A. Garvín and V. Muñoz), Math. Nachr. 296 (6), 2236-2257 (2023) (arXiv)
Homotopy Invariants and Almost Non-Negative Curvature (with G. Lupton and J. Oprea), Math. Z. 300 1117-1140 (2022) (arXiv)
Symmetric and skew-symmetric complex structures (with A. Gil García and A. Latorre), J. Geom. Phys. 170 (2021), 104348 (arXiv)
Complex symplectic structures on Lie algebras (with M. Freibert, A. Latorre and B. Meinke), J. Pure Appl. Algebra 225 (6) (2021) (arXiv)
Structure of locally conformally symplectic Lie algebras and solvmanifolds (with D. Angella and M. Parton), Ann. Sc. Norm. Super. Pisa XX (1) (2020), 373-411 (arXiv)
Toric actions in cosymplectic geometry (with O. Goertsches), Forum Math. 31 (4) (2019), 907-915 (arXiv)
A 6-dimensional simply connected complex and symplectic manifold with no Kähler metric (with M. Fernández and V. Muñoz), J. Symplectic Geom. 16 (4), (2018), 1001-1020 (arXiv)
Special types of locally conformal closed G2-structures (with A. Raffero), Axioms 7 (4) (2018) (arXiv)
Locally conformally symplectic and Kähler geometry, EMS Surv. Math. Sci. 5 (1) (2018), 129-154 (arXiv)
Parallel forms, co-Kähler manifolds and their Models (with G. Lupton and J. Oprea), Bull. Belg. Math. Soc. Simon Stevin 25 (2018), 1-11 (arXiv)
On locally conformal symplectic manifolds of the first kind (with J. C. Marrero), Bull. Sci. Math. 143 (2018), 1-57 (arXiv)
On the history of the Hopf problem (with I. Agricola, O. Goertsches, P. Konstantis and S. Rollenske), Differential Geom. Appl. 57 (2018), 1-9 (arXiv)
Homotopic properties of Kähler orbifolds (with I. Biswas, M. Fernández, V. Muñoz and A. Tralle), In: Special Metrics and Group Actions in Geometry, Springer INdAM Series 23 (2017), 23-57, Springer, Cham (arXiv)
Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics (with J. C. Marrero), Complex Manifolds 4 (2017), 172-178 (arXiv)
Vaisman nilmanifolds, Bull. Lond. Math. Soc. 49 (5) (2017), 824-830 (arXiv)
Hereditary properties of co-Kähler manifolds (with G. Lupton and J. Oprea), Differential Geom. Appl. 50 (2017), 126-139 (arXiv)
A splitting theorem for compact Vaisman manifolds (with J. C. Marrero and J. Oprea), Rendiconti Seminario Matematico Univ. Pol. Torino 74 (1) (2016), 21-30 (arXiv)
Formality and the Lefschetz property in symplectic and cosymplectic geometry (with M. Fernández and V. Muñoz), Complex Manifolds 2 (2015), 53-77 (arXiv)
Manifolds which are complex and symplectic but not Kähler (with V. Muñoz), In: Rassias T., Pardalos P. (eds) Essays in Mathematics and its Applications. Springer, Cham (arXiv)
Non-formal co-symplectic manifolds (with M. Fernández and V. Muñoz), Trans. Amer. Math. Soc. 367 (2015), 4459-4481 (arXiv)
K-cosymplectic manifolds (with O. Goertsches), Ann. Global Anal. Geom. 47 3 (2015) 239-270 (arXiv)
On the structure of co-Kähler manifolds (with J. Oprea), Geom. Dedicata 170 1 (2014), 71-85 (arXiv)
Minimal algebras and 2-step nilpotent Lie algebras in dimension 7, Geom. Dedicata 165 1 (2013), 111-133 (arXiv)
Classification of minimal algebras over any field up to dimension 6 (with V. Muñoz), Trans. Amer. Math. Soc. 364 (2012), 1007-1028 (arXiv)