Cover Image

On the canonical bundle of complex solvmanifolds and applications to hypercomplex geometry

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Andrada, Adrián, Tolcachier, Alejandro
Format:	Preprint
Published:	2023
Subjects:	Differential Geometry 53C15, 32M10, 22E25, 22E40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Six-dimensional complex solvmanifolds with non-invariant trivializing sections of their canonical bundle
by: Tolcachier, Alejandro
Published: (2024)

Classification of 6-dimensional splittable flat solvmanifolds
by: Tolcachier, Alejandro
Published: (2021)

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

1-Lefschetz contact solvmanifolds
by: Andrada, Adrián, et al.
Published: (2025)

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

Symplectic solvmanifolds not satisfying the hard-Lefschetz condition
by: Andrada, Adrián, et al.
Published: (2025)

Torsion-free $H$-structures on almost Abelian solvmanifolds
by: Freibert, Marco
Published: (2024)

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

Invariant and non-invariant almost complex structures on compact quotients of Lie groups
by: Sillari, Lorenzo, et al.
Published: (2025)

The mean curvature flow on solvmanifolds
by: Arroyo, Romina M., et al.
Published: (2023)

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

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

New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebras
by: Rossi, Federico A.
Published: (2021)

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

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

Negatively curved Einstein metrics on Gromov-Thurston manifolds
by: Hamenstädt, Ursula, et al.
Published: (2024)

Complex structures on 2-step nilpotent Lie algebras arising from graphs
by: Andrada, Adrián, et al.
Published: (2025)

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

SYZ mirror symmetry of solvmanifolds
by: Bedulli, Lucio, et al.
Published: (2023)

A construction of Einstein solvmanifolds not based on nilsolitons
by: Conti, Diego, et al.
Published: (2023)

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

Pseudo-Kähler and hypersymplectic structures on semidirect products
by: Conti, Diego, et al.
Published: (2023)

Special non-Kähler metrics on Endo-Pajitnov manifolds
by: Ciulică, Cristian, et al.
Published: (2024)

A Generalization of Inoue Surfaces $S^+$
by: Petcu, David
Published: (2024)

Special non-Kähler metrics -- old and new
by: Ornea, Liviu, et al.
Published: (2025)

Kenmotsu LIe groups
by: Boucetta, Mohamed
Published: (2024)

On indefinite Einstein solvmanifolds admitting a Killing spinor
by: Conti, Diego, et al.
Published: (2025)

On the left invariant $(α,β)$-metrics on some Lie groups
by: Hosseini, Masoumeh, et al.
Published: (2016)

Bott-Chern formality and Massey products on strong Kähler with torsion and Kähler solvmanifolds
by: Sferruzza, Tommaso, et al.
Published: (2024)

Splittable Lattices in the metabelian solvable Lie group $\mathbb{R}^n\rtimes\mathbb{R}^m$
by: Dali, Béchir, et al.
Published: (2025)

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

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

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

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

Moduli spaces of (co)closed $\mathrm{G}_2$-structures on nilmanifolds
by: Bazzoni, Giovanni, et al.
Published: (2023)

From curve shortening to flat link stability and Birkhoff sections of geodesic flows
by: Alves, Marcelo R. R., et al.
Published: (2024)

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

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

Geodesics and $F$-geodesics on tangent bundle with $φ$-Sasaki metric over para-Kähler-Norden manifold
by: Zagane, Abderrahim
Published: (2023)