GENERALIZED G2-MANIFOLDS AND SU(3)-STRUCTURES

DOI10.1142/S0129167X08005072zbMath1168.53012arXivmath/0609820MaRDI QIDQ5506279

Adriano Tomassini, Anna Fino

Publication date: 28 January 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609820

zbMATH Keywords

torsionspinorgeneralized \(G_2\)-structure\(SU(3)\)-structure

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) (G)-structures (53C10)

Related Items (7)

Internal circle uplifts, transversality and stratified G-structures ⋮ Calabi-Yau cones from contact reduction ⋮ On generalized \(G_2\)-structures and \(T\)-duality ⋮ Odd‐dimensional counterparts of abelian complex and hypercomplex structures ⋮ New HKT manifolds arising from quaternionic representations ⋮ Harmonic structures and intrinsic torsion ⋮ Special geometries associated to quaternion-Kähler 8-manifolds

Cites Work

• Conformally parallel \(G_2\) structures on a class of solvmanifolds
• The Ricci tensor of SU(3)-manifolds
• SU(3)-structures on hypersurfaces of manifolds with \(G_2\)-structure
• Calibrated geometries
• An example of a compact calibrated manifold associated with the exceptional Lie group \(G_ 2\)
• Complex parallelisable manifolds and their small deformations
• \(G\)-structures and wrapped NS\(5\)-branes
• Generalised \(G_2\)-manifolds
• Special almost Hermitian geometry
• ON THE MASLOV INDEX OF LAGRANGIAN SUBMANIFOLDS OF GENERALIZED CALABI–YAU MANIFOLDS
• Generalized Killing spinors in dimension 5
• SPECIAL SYMPLECTIC SIX-MANIFOLDS

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