Spin(9)-structures and connections with totally skew-symmetric torsion.

DOI10.1016/S0393-0440(02)00189-4zbMath1039.53049arXivmath/0201263MaRDI QIDQ1400162

Thomas Friedrich

Publication date: 13 August 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201263

zbMATH Keywords

string theoryskew-symmetric torsionspecial Riemannian manifolds\(Spin(9)\)-structures

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Connections (general theory) (53C05)

Related Items (9)

Unnamed Item ⋮ Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a Spin(9)-structure ⋮ Killing spinor equations in dimension 7 and geometry of integrable \(G_{2}\)-manifolds ⋮ THREE-FORMS AND ALMOST COMPLEX STRUCTURES ON SIX-DIMENSIONAL MANIFOLDS ⋮ Spin(9) and almost complex structures on 16-dimensional manifolds ⋮ On the explicit expressions of the canonical 8-form on Riemannian manifolds with \(\mathrm{Spin}(9)\) holonomy ⋮ Almost Hermitian 6-manifolds revisited ⋮ THE CANONICAL EIGHT-FORM ON MANIFOLDS WITH HOLONOMY GROUP SPIN(9) ⋮ Parallelizations on products of spheres and octonionic geometry

Cites Work

• Unnamed Item
• Weak Spin(9)-structures on 16-dimensional Riemannian manifolds
• A classification of Riemannian manifolds with structure group Spin (7)
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
• Weak holonomy groups
• Vanishing theorems and string backgrounds
• HyperKähler torsion structures invariant by nilpotent Lie groups

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