\(G_2\)-structures with torsion from half-integrable nilmanifolds
From MaRDI portal
Publication:557170
DOI10.1016/j.geomphys.2004.09.009zbMath1086.53069arXivmath/0404554OpenAlexW2089468282MaRDI QIDQ557170
Simon G. Chiossi, Andrew F. Swann
Publication date: 23 June 2005
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0404554
Related Items
The Ricci tensor of SU(3)-manifolds ⋮ On the characteristic connection of gwistor space ⋮ Half-flat structures on products of three-dimensional Lie groups ⋮ Solvable Lie algebras are not that hypo ⋮ Half-flat nilmanifolds ⋮ Generalized Killing spinors in dimension 5 ⋮ Closed \(\mathrm{SL}(3,\mathbb{C})\)-structures on nilmanifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Almost Hermitian 6-manifolds revisited
- Riemannian manifolds with structure group \(G_ 2\)
- On the geometry of closed \(G_{2}\)-structures
- Metrics with exceptional holonomy
- Kähler and symplectic structures on nilmanifolds
- The sixteen classes of almost Hermitian manifolds and their linear invariants
- Real homotopy theory of Kähler manifolds
- Twistor spaces for QKT manifolds
- HKT and OKT geometries on soliton black hole moduli spaces
- On nearly parallel \(G_2\)-structures
- Killing spinor equations in dimension 7 and geometry of integrable \(G_{2}\)-manifolds
- Kähler reduction of metrics with holonomy \(G_2\)
- Geometry of hyper-Kähler connections with torsion
- Bochner formulae for orthogonal \(G\)-structures on compact manifolds.
- The geometry of three-forms in six dimensions.
- Pseudo-Kähler metrics on six-dimensional nilpotent Lie algebras
- Parallel spinors and connections with skew-symmetric torsion in string theory.
- Cohomogeneity-one \(G_{2}\)-structures
- Families of strong KT structures in six dimensions
- Einstein locally conformal calibrated \(G_2\)-structures
- \(\text{SU}(3)\)-instantons and \(G_{2}\), \(\text{Spin}(7)\)-heterotic string solitons
- On the cohomology of compact homogeneous spaces of nilpotent Lie groups
- Minimal Models of Nilmanifolds
- Invariant complex structures on reductive Lie groups.
- Complex structures on the Iwasawa manifold
- Remarques sur les groupes de Kähler nilpotents
- Symplectic manifolds with no Kähler structure
- Complex structures on nilpotent Lie algebras
- Dolbeault cohomology of compact nilmanifolds
- Vanishing theorems on Hermitian manifolds
- Supersymmetric domain walls from metrics of special holonomy
