Preprint

Exact G2-structures on compact quotients of Lie groups (con L. Martín-Merchán, A. Raffero), preprint math.DG/2108.11664.

Closed G2-structures on unimodular Lie algebras with non-trivial center (con A. Raffero, F. Salvatore), preprint math.DG/2103.11628.

Almost Robinson geometries (con T. Leistner, A. Taghavi-Chabert), preprint math.DG/2102.05634.

Pluriclosed and Strominger Kähler-like metrics compatible with abelian complex structures (con N. Tardini, L. Vezzoni), preprint math.DG/2102.01920.

Balanced Hermtian metrics on almost abelian Lie algebras, (con F. Paradiso), preprint math.DG/2011.09992.

Optical geometries, (con T. Leistner, A. Taghavi-Chabert), preprint math.DG:2009.10012.

Articoli su rivista

Solutions to the Hull-Strominger system with torus symmetry, (con G. Grantcharov, L. Vezzoni), preprint math.DG/1901.10322, to appear in Comm. Math. Phys.

Generalized Kähler almost abelian Lie groups, (con F. Paradiso), Ann. Mat. Pura Appl. 200 (2021), no. 4, 1781–1812.

Closed SL(3,C)-structures on nilmanifolds, (con F. Salvatore), J. Geom. Phys. 167 (2021), 104289, 19 pp.

Some remarks on Hermitian manifolds satisfying Kähler-like conditions, (con N. Tardini), Math Z. 298 (2021), 49--68.

A class of eternal solutions to the G_2-Laplacian flow, (con A. Raffero), J. Geom. Anal. 31 (2021), no. 5, 4641-4660.

A compact G_2-calibrated manifold with first Betti number b_1=1, (con M. Fernández, A. Kovalev, V. Muñoz), Adv. Math. 381 (2021), 1-37.

Laplacian co-flow on the quaternionic Heisenberg group, (con L. Bagaglini, M. Fernández), Asian J. Math. 24 (2020), no. 2, 331-354.

Homogeneous 8-manifolds admitting invariant Spin(7)-structures, (con D. Alekseevsky, I. Chrysikos, A. Raffero), Internat. J. Math. 31 (2020), no. 8, 2050060, 33 pp.

Remarks on homogeneous solitons of the G_2-Laplacian flow, (con A. Raffero), C.R. Math. Acad. Sci. Paris 358 (2020), 401- 406.

Exact $G_2$-structures on unimodular Lie algebras, (con M. Fernández, A. Raffero), Monatsh. Mat. 193 (2020), 47-60.

Closed warped G_2-structures evolving under the Laplacian flow, (con A. Raffero), Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 20 (2020), 315-348.

Dolbeault cohomology of complex nilmanifolds foliated in toroidal groups, (con S. Rollenske, J. Ruppenthal), Q. J. Math. 70 (2019), 1265-1279.

Astheno-Kähler and balanced structures on fibrations, (con G. Grantcharov, L. Vezzoni), Int. Math. Res. Not. IMRN 2019, no. 22, 6819–6886.

Closed G_2-structures on non-solvable Lie groups, (con A. Raffero), Rev. Mat. Complut. 32 (2019), 837-851.

Holonomy groups of G_2^*-manifolds, (con I. Kath), Trans. Amer. Mat. Soc. 371 (2019), no. 11, 7725–7755.

Crepant Resolutions of C^3/Z_4 and the Generalized Kronheimer Construction (in view of the Gauge/Gravity Correspondence), (con U. Bruzzo, P. Fré, P. A. Grassi, D. Markushevitch), J. Geom. Phys. 149 (2019), 1-50.

The Kähler Quotient Resolution of ℂ^3/Γ singularities, the McKay correspondence and D=3 N=2 Chern-Simons gauge theories, (con U. Bruzzo, P. Frè), Commun. Math. Phys. 365 (2019), 93-214.

Algebraic dimension of complex nilmanifolds, (con G. Grantcharov, M. Verbitsky), J. Math. Pures Appl. (9) 118 (2018), 204–218.

The Laplacian coflow on almost-abelian Lie groups, (con L. Bagaglini), Ann. Mat. Pura Appl. 197 (2018), no. 6, 1855–1873.

Coclosed G_2-structures inducing nilsolitons, (con L. Bagaglini, M. Fernández), Forum Math. 30 (2018), no. 1, 109-128.

Local metrics with holonomy contained in G_2^*, (con I. Kath), SIGMA 14 (2018), 081, 28 pages.

Tamed symplectic structures on compact solvmanifolds of completely solvable type, (con H. Kasuya), Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 16, (2016), 971-979.

On de Rham and Dolbeault Cohomology of Solvmanifolds, (con S. Console, H. Kasuya), Transform. Groups. 21 (2016), no.3, 653-680.

Locally conformal calibrated G_2-manifolds, (con M. Fernández, A. Raffero), Ann. Mat. Pura Appl. 195 (2016), no. 5, 1721-1736.

Laplacian flow of closed $G_2$-structures inducing nilsolitons, (con M. Fernández, V. Manero), J. Geom. Anal. 26 (2016), no. 3, 1808–1837.

On the existence of balanced and SKT metrics on nilmanifolds, (con L. Vezzoni), Proc. Amer. Math. Soc. 144 (2016), no. 6, 2455–2459.

Holomorphic Poisson Structures and its Cohomology on Nilmanifolds, (con Z. Chen, Y. S. Poon), Differential Geom. Appl. 44 (2016), 144-160.

Six dimensional solvmanifolds with holomorphically trivial canonical bundle, (con A. Otal, L. Ugarte), Int. Math. Res. Not. IMRN 2015, no. 24, 13757–13799.

The Calabi-Yau equation on the Kodaira-Thurston manifold, viewed as an S^1-bundle over a 3-torus, (con E. Buzano, L. Vezzoni), J. Differential Geom. 101 (2), (2015), 175-195.

Analog of selfduality in dimension nine, (con P. Nurowski), J. Reine Angew. Math. 699 (2015), 67-110.

The pluriclosed flow on nilmanifolds and Tamed symplectic forms, (con N. Enrietti, L. Vezzoni), J. Geom. Anal. 25 (2015), 883-909.

Homogeneous geodesics of non-reductive homogeneous pseudo-Riemannian 4-manifolds (con G. Calvaruso, A. Zaeim), Bull. Braz. Math. Soc. (N.S.) 46 (2015), 23-64.

G_2-structures on Einstein solvmanifolds, (con M. Fernandez, V. Manero), Asian J. Math. 19 (2015), 321-342.

Special Hermitian metrics on compact solvmanifolds (con L. Vezzoni), J. Geom. Phys. 91 (2015), 40–53.

Four-dimensional pseudo-Riemannian homogeneous Ricci solitons, (con G. Calvaruso), Int. J. Geom. Methods Mod. Phys. 12 (2015), 1550056 (21 pag.).

Coupled SU(3)-structures and Supersymmetry, (con A. Raffero), Symmetry 2015, 7(2), 625-650.

SKT and Tamed symplectic structures on solvmanifolds, (con H. Kasuya, L. Vezzoni), Tohoku Math. J. 67 (2015), 19-37.

Torsion-free G^*_{2(2)}-structures with full holonomy on nilmanifolds, (con I. Lujan), Adv. Geom. 15 (2015), no.3, 381-392.

Einstein locally conformal calibrated G_2-structures, (con A. Raffero), Math. Z. 280 (2015), no. 3-4, 1093-1106.

On generalized Gauduchon metrics, (con L. Ugarte), Proc. Edimburgh Math. Soc. 56 (2013), 733-753.

Tamed symplectic forms and Generalized Geometry, (con N. Enrietti, G. Grantcharov), J. Geom. Phys. 71 (2013), 103-116.

Hermitian and Parahermitian structures on homogeneous four-manifolds (con G. Calvaruso), Internat. J. Math. 24, No. 1 (2013), 1-28.

The Calabi-Yau equation on 4-manifolds over 2-tori (con Y. Li, S. Salamon, L. Vezzoni), Trans. Amer. Math. Soc. (365) (2013), 1551-1575.

Blow-ups and Cohomology of Almost Complex Manifolds, (con A. Tomassini), Diff. Geom. Appl. 30 (2012), 520--529.

Five-dimensional K-contact Lie algebras (con G. Calvaruso), Monatsh. Math. 157 (2012), 35--59.

Ricci solitons and geometry of non-reductive homogeneous 4-spaces (con G. Calvaruso), Canad. J. Math. 64 (2012), 778--804.

Tamed symplectic forms and SKT metrics, (con N. Enrietti, L. Vezzoni), J. Sympl. Geom. 10 (2012), 203--224.

The Calabi-Yau equation for T^2-bundles over T^2: the non-Lagrangian case (con E. Buzano, L. Vezzoni), Rend. Semin. Mat. Univ. Politec. Torino. 69 (2011), no. 3, 281-298.

On the de Rham cohomology of solvmanifolds, (con S. Console), Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 10 (2011), 801-818.

On astheno-Kähler metrics, (con A. Tomassini), J. London Math. Soc. 83 (2011) , 290-308.

Some results on cosymplectic manifolds, (con L. Vezzoni), Geometriae Dedicata 121 (2011), 41-58.

New HKT manifolds arising from quaternionic representations, (con M. L. Barberis), Math. Z. 267 (2011), 717-735.

On the geometry underlying supersymmetric flux vacua with intermediate SU(2) structure, (con L. Ugarte), Classical Quantum Gravity 28 (2011), 1-21.

Strong Kähler with torsion structures from almost contact manifolds, (con M. Fernandez, L. Ugarte, R. Villacampa), Pacific J. Math. 249 (2011), 49--75.

Calabi-Yau cones from contact reduction, (con D. Conti), Ann. Global Anal. Geom. 38 (2010), 93--118.

On some cohomological properties of almost complex manifolds, (con A. Tomassini), J. Geom. Anal. 20 (2010), 107–131.

Contact 5-manifolds with SU(2)-structure, (con Luis C. de Andres & M. Fernandez & L. Ugarte), Q. J. Math. 60 (2009), 429--459.

A class of Sasakian $5$-manifolds, (con A. Andrada & L. Vezzoni), Transform. Groups. 14 (2009), no. 3, 493--512.

A survey on strong KT structures, (invited survey) (con A. Tomassini), Bull. Math. Soc. Sci. Math. Roumanie 52 (100) (2009), no. 2, 99-116.

Blow ups and resolutions of strong Kähler with torsion metrics, (con A. Tomassini), Adv. Math. 221 (2009), no.3, 914-935.

Non Kaehler solvmanifolds with generalized Kaehler structure, (con A. Tomassini), J. Sympl. Geom. 7 (2009), no. 2, 1-14.

Generalized G_2-manifolds and SU(3)-structures, (con A. Tomassini), Internat. J. Math. 19 (2008), 1147-1165.

Nearly integrable SO(3)-structures on 5-dimensional Lie groups, (con S. Chiossi), J. Lie Theory 17 (2007), 539-562.

Solvmanifolds with integrable and non-integrable G_2 structures, (con I. Agricola & S. Chiossi), Diff. Geom. Appl. 25 (2007), 125-135.

Stability of Abelian Complex Structures, (con S. Console & Y. S. Poon), Internat. J. Math. 17 (2006), 401-416.

Conformally parallel G_2 structures on a class of solvmanifolds, (con S. Chiossi), Math. Z. 252 (2006), 825-848.

Hyper-Kaehler quotients of solvable Lie groups, (con M. L. Barberis & I. Dotti), J. Geom. Phys. 56 (2006), 691-711.

Almost Kahler 4-dimensional Lie groups with J-invariant Ricci tensor, Diff. Geom. Appl. 23 (2005), 26-37.

The moduli space of 6-dimensional 2-step nilpotent Lie algebras, (con S. Console & E. Samiou), Ann. Global Anal. Geom. 27 (2005), 17-32.

Properties of manifolds with skew-symmetric torsion and special holonomy, (con G. Grantcharov), Adv. Math. 189 (2004), 439-450.

Neutral Calabi-Yau structures on Kodaira Manifolds, (con H. Pedersen, Y. S. Poon & M. Weye Sorensen), Commun. Math. Phys. 248 (2004) no. 2, 255-268.

Families of strong KT structures in six dimensions, (con M. Parton & S. Salamon), Comm. Math. Helv. 79 (2004) no. 2, 317-340.

Hypercomplex 8-dimensional nilpotent Lie groups, (con I. G. Dotti), J. Pure Applied Algebra 184 (2003) no. 1, 41-57.

Cotangent bundles of 4-dimensional hypercomplex Lie groups, Manuscripta Math. 109 (2002) no. 4, 527-541.

Hyperkahler torsion structures invariant by nilpotent Lie groups, (con I. G. Dotti), Classical Quantum Gravity 19, no.3 (2002), 551-562.

Dolbeault Cohomology of compact nilmanifolds, (con S. Console), Transform. Groups 6 (2001), 111-124.

On index number and topology of flag manifolds, (con J. Berndt & S. Console), Diff. Geom. Appl. 15 (2001), 81-90.

Symmetric weights and s-representations, (con S. Console), Kodai Math. J. 23 (2000), 266-280.

Abelian hypercomplex 8-dimensional nilmanifolds, (con I. G. Dotti), Ann. Global Anal. Geom. 18 (2000), no. 1, 47--59.

Geometry and topology of homogeneous spaces, Boll. Unione Mat. Ital. Sez. A Mat. Soc. Cult. (8) 1 (1998), suppl., 31--34 (riassunto della tesi di dottorato).

Intrinsic torsion and weak holonomy, Math. J. Toyama Univ. 21 (1998), 1-22.

Systems of roots and topology of complex flag manifolds, Geometriae Dedicata 71 (1998), 299-308.

Homogeneous structures on Kaehler submanifolds of complex projective spaces, (con S. Console), Proc. Edimburgh Math. Soc 39 (1996), 381-395.

Almost contact homogeneous structures, Bollettino UMI (7) 9-A(1995), 299-311.

Almost contact homogeneous manifolds, Riv. Mat. Univ. Parma (5) 3 (1994), 321-332.

Articoli in Proceedings

Recent results on closed G2-structures, (con A. Raffero), https://arxiv.org/abs/2006.13931, to appear in Abel Symposia, Springer.

Alessandro Terracini e la geometria differenziale proiettiva, in "Alessandro Terracini (1889-1968) da Torino a Torino. A cinquant'anni dalla morte", ed. A. Conte, L. Giacardi, Quaderno dell'Accademia delle Scienze di Torino, n. 36 (2020), 121-132.

On G2-structures, special metrics and related flows, (con M. Fernández, A. Raffero), In: Karigiannis S., Leung N., Lotay J. (eds) Lectures and Surveys on G_2-Manifolds and Related Topics. Fields Institute Communications, vol 84, 2020. Springer, New York, NY.

In memoriam Sergio Console, (con S. Chiossi, I. Dotti), Rend. Semin. Mat. Univ. Politec. Torino 74 (2016), no. 1-2, 9-19.

Composition algebras and Cartan's isoperimetric hypersurfaces, (con S. Console, G. Thorbergsson) Proceedings of PADGE 2012, (2013), 99--107.

Special Hermitian metrics and Lie groups (con N. Enrietti), Diff. Geom. Appl. 29, Supplement 1 (2011), 211--219.

On the cohomology of almost complex manifolds (con A. Tomassini), AIP Conference Proceedings Volume 1260 Geometry and Physics: XVIII International Fall Workshop on Geometry and Physics, Benasque (Spain), 7-10 September 2009, edited by M. Asorey, J. F. Carinena, J. Clemente-Gallardo, E. Martinez, Americal Institute of Physics, 2010, 153--159.

HKT structures from almost contact manifolds (con M. Fernandez, L. Ugarte, R. Villacampa), AIP Conference Proceedings Vol. 1360: XIX Fall Workshop on Geometry and Physics, September 6-9, 2010, Porto (Portugal), edited by by Roger Picken and Carlos Herdeiro, American Institute of Physics, 2011, 27--38.

Astheno-Kaehler and strong KT metrics, (con A. Tomassini), AIP Conference Proceedings Volume 1130 Geometry and Physics: XVII International Fall Workshop on Geometry and Physics, Castro Urdiales (Spain), 3–6 September 2008, edited by F. Etayo, M. Fioravanti, and R. Santamaria, American Institute of Physics, 2009, 152--158.

Solvmanifolds and Generalized Kaehler structures, (con A. Tomassini), Proceedings di "Recent advances in Differential Geometry, International Conference in honour of Prof. O. Kowalski", Lecce, 13-16 giugno 2007, Note di Matematica 28, suppl. n. 1, 2008, 163–184.

Nearly integrable SO(3) geometry, (con S. Chiossi), Proc. XV Int. l Workshop on Geometry and Physics (Puerto de la Cruz, Tenerife 2006), Publ. del la RSME, vol. 10 (2007), 131-136.

G_2-geometry, solvable Lie groups and (super)symmetries, (con S. Chiossi), Proc. XV Int. l Workshop on Geometry and Physics (Puerto de la Cruz, Tenerife 2006), Publ. del la RSME, vol. 10 (2007), 275-279.

Special metrics in G_2 geometry, (con S. Chiossi), Rev. Un. Mat. Arg. 47 (1), 35-49, 2006.

Hypercomplex nilpotent Lie groups, (con I. G. Dotti), in Global Differential Geometry: The Mathematical Legacy of Alfred Gray (Bilbao, 2000), 310-314, Contemp. Math. 241, AMS, Providence, RI 2001.

Observations on the topology of symmetric spaces, (con S. Salamon), in J.E. Andersen et al., ed., Geometry and Physics, Lecture Notes in Pure and Applied Mathematics 184, Marcel Dekker, New York (1997), 275-286.