Closed $\mathrm{G}_2$-structures on unimodular Lie algebras with non-trivial center

DOI10.1007/S00031-021-09683-8arXiv2103.11628OpenAlexW3137596061WikidataQ115389351 ScholiaQ115389351MaRDI QIDQ6192558

Anna Fino, Alberto Raffero, Francesca Salvatore

Publication date: 11 March 2024

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.11628

zbMATH Keywords

center soliton unimodular Lie algebra closed $G_2$-structure contactization

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Nilpotent and solvable Lie groups (22E25) Contact manifolds (general theory) (53D10) (G)-structures (53C10)

Related Items (1)

Closed ${G_2}$-structures on compact quotients of Lie groups

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On low-dimensional solvmanifolds
Existence of compatible contact structures on $G_2$-manifolds
Cocalibrated $\mathrm G_2$-structures on products of four- and three-dimensional Lie groups
Invariant contact structures on 7-dimensional nilmanifolds
Laplacian flow for closed $\mathrm{G}_{2}$ structures: Shi-type estimates, uniqueness and compactness
Nilmanifolds with a calibrated $G_{2}$-structure
Riemannian manifolds with structure group $G_ 2$
A class of Sasakian 5-manifolds
On contact manifolds
Remarks on homogeneous solitons of the $\mathrm{G}_2$-Laplacian flow
The Ricci tensor of SU(3)-manifolds
Left invariant contact structures on Lie groups
An example of a compact calibrated manifold associated with the exceptional Lie group $G_ 2$
A family of compact solvable $G_ 2$-calibrated manifolds
Curvatures of left invariant metrics on Lie groups
Kähler reduction of metrics with holonomy $G_2$
Laplacian solitons on nilpotent Lie groups
Hypersymplectic 4-manifolds, the $G_2$-Laplacian flow, and extension assuming bounded scalar curvature
Laplacian solitons and symmetry in $G_2$-geometry
Cohomological properties of unimodular six dimensional solvable Lie algebras
Symplectic half-flat solvmanifolds
Closed $\mathrm{SL}(3,\mathbb{C})$-structures on nilmanifolds
Almost contact structures on manifolds with a $G_2$ structure
$S^1$-quotient of $\mathrm{Spin}(7)$-structures
The classification of ERP $G_2$-structures on Lie groups
Closed ${\mathrm{G}}_2$-structures on non-solvable Lie groups
Laplacian solitons: questions and homogeneous examples
Laplacian flow of closed $G_2$-structures inducing nilsolitons
Contact homogeneous spaces
Spacelike mean curvature flow
Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures
Closed warped G_2-structures evolving under the Laplacian flow
Laplacian flow of homogeneous G2-structures and its solitons
Vector Cross Products on Manifolds

This page was built for publication: Closed $\mathrm{G}_2$-structures on unimodular Lie algebras with non-trivial center

Closed \(\mathrm{G}_2\)-structures on unimodular Lie algebras with non-trivial center