Solvmanifolds with integrable and non-integrable \(G_{2}\) structures

DOI10.1016/j.difgeo.2006.05.002zbMath1146.53017arXivmath/0510300OpenAlexW2049067112WikidataQ115156381 ScholiaQ115156381MaRDI QIDQ997140

Ilka Agricola, Anna Fino, Simon G. Chiossi

Publication date: 23 July 2007

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510300

zbMATH Keywords

solvmanifoldparallel spinorconnection with skew-symmetric torsion\(G_{2}\)-structure

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) (G)-structures (53C10)

Related Items (4)

Moduli spaces of oriented Type A manifolds of dimension at least 3 ⋮ The moduli space of type \(\mathcal{A}\) surfaces with torsion and non-singular symmetric Ricci tensor ⋮ Moduli spaces of type \(\mathcal B\) surfaces with torsion ⋮ The \(G_{2}\) sphere of a 4-manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Riemannian manifolds with structure group \(G_ 2\)
• Conformally parallel \(G_2\) structures on a class of solvmanifolds
• Metrics with exceptional holonomy
• Noncompact homogeneous Einstein spaces
• Rank-one Einstein solvmanifolds of dimension 7.
• On the holonomy of connections with skew-symmetric torsion
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• On the construction of some complete metrics with exceptional holonomy
• Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
• Supersymmetric domain walls from metrics of special holonomy

This page was built for publication: Solvmanifolds with integrable and non-integrable \(G_{2}\) structures