Cover Image

Complex structures on 2-step nilpotent Lie algebras arising from graphs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Andrada, Adrián, Vera, Sonia
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry Rings and Algebras 17B30, 22E25, 53C15, 05C25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Holonomy of the Obata connection on 2-step hypercomplex nilmanifolds
by: Andrada, Adrián, et al.
Published: (2025)

Construction of symplectic solvmanifolds satisfying the hard-Lefschetz condition
by: Andrada, Adrián, et al.
Published: (2024)

$η$-Einstein Sasakian Lie algebras
by: Andrada, Adrián M., et al.
Published: (2025)

Classification of almost abelian Lie groups admitting left-invariant complex or symplectic structures
by: Arroyo, Romina M., et al.
Published: (2024)

On left-invariant semi-Kähler structures on six-dimensional nilpotent nonsymplectic Lie groups
by: Smolentsev, N. K., et al.
Published: (2024)

On extensions of Frobenius-Kähler and Sasakian Lie algebras
by: Rodríguez-Vallarte, M. C., et al.
Published: (2024)

Tanaka rigidity of graph Lie algebras
by: Molina, Mauricio Godoy
Published: (2024)

Hermitian Structures on Lie Groups with Two-dimensional Commutator Subgroups
by: Moghaddam, Hamid Reza Salimi
Published: (2026)

Classification of abelian complex structures on 6-dimensional Lie algebras
by: Andrada, A., et al.
Published: (2009)

Purely coclosed $\mathrm{G}_2$-structures on nilmanifolds -- II
by: Bazzoni, Giovanni, et al.
Published: (2025)

Non-singular weakly symmetric nilmanifolds
by: Nikolayevsky, Y., et al.
Published: (2025)

Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials
by: Al-Kaabi, M. J. H., et al.
Published: (2022)

New examples of G$_2$-structures with divergence-free torsion
by: Garrone, Agustín
Published: (2022)

Curvatures of metric Jordan algebras
by: Zhang, Hui, et al.
Published: (2023)

Homogeneous spaces with geodesic orbit Riemannian metrics and with integrable invariant distributions
by: Berestovskii, V. N., et al.
Published: (2026)

On geodesic orbit nilmanifolds
by: Nikonorov, Yu. G.
Published: (2024)

Left-invariant Kähler and semi-para-Kähler structures on some six-dimensional unsolvable Lie groups
by: Smolentsev, N. K., et al.
Published: (2024)

Semi-simple Lie algebras are determined by their Iwasawa subalgebras
by: Epstein, Jonathan, et al.
Published: (2023)

Symmetric Killing tensors on almost abelian Lie groups
by: Berto-Cuevas, Renan, et al.
Published: (2025)

The moduli spaces of presymplectic forms on almost abelian Lie algebras
by: Moscoso, Luis Pedro Castellanos
Published: (2026)

Asymptotics of Riemannian Lie groups with nilpotency step 2
by: Donne, Enrico Le, et al.
Published: (2025)

Geodesic orbit pseudo-Riemannian H-type nilmanifolds: case of minimal admissible Clifford modules
by: Furutani, Kenro, et al.
Published: (2025)

Concerning a conjecture of Taketomi-Tamaru
by: Jablonski, Michael
Published: (2018)

Einstein solvmanifolds as submanifolds of symmetric spaces
by: Jablonski, Michael
Published: (2018)

On the canonical bundle of complex solvmanifolds and applications to hypercomplex geometry
by: Andrada, Adrián, et al.
Published: (2023)

Applications of the quaternionic Jordan form to hypercomplex geometry
by: Andrada, Adrián, et al.
Published: (2024)

The bracket of the exceptional Lie algebra E8
by: Kollross, Andreas
Published: (2025)

Two-step homogeneous geodesics in some homogeneous Finsler manifolds
by: Hosseini, Masoumeh, et al.
Published: (2021)

A classification of left-invariant symplectic structures on some Lie groups
by: Moscoso, Luis Pedro Castellanos, et al.
Published: (2020)

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups
by: Lu, Dilei, et al.
Published: (2025)

The moduli spaces of left-invariant statistical structures on Lie groups
by: Kobayashi, Hikozo, et al.
Published: (2025)

Invariant Einstein Kropina metrics on Lie groups and homogeneous spaces
by: Hosseini, Masoumeh, et al.
Published: (2018)

On pseudo-Riemannian Ricci-parallel Lie groups which are not Einstein
by: An, Huihui, et al.
Published: (2024)

Nilpotent Lie algebras obtained by quivers and Ricci solitons
by: Mizoguchi, Fumika, et al.
Published: (2024)

Non-singular geodesic orbit nilmanifolds
by: Nikolayevsky, Yuri, et al.
Published: (2025)

On the free Lie-Yamaguti algebra
by: Stava, Jonatan
Published: (2024)

The moduli space of left-invariant metrics on six-dimensional characteristically solvable nilmanifolds
by: Cardoso, Isolda, et al.
Published: (2024)

On weakly Einstein Lie groups
by: Euh, Yunhee, et al.
Published: (2024)

Almost abelian pseudo-Kähler Lie algebras
by: Conti, Diego, et al.
Published: (2025)

Harmonic complex structures and special Hermitian metrics on products of Sasakian manifolds
by: Andrada, Adrián, et al.
Published: (2023)