Geometric structures of vectorial type

DOI10.1016/j.geomphys.2005.12.007zbMath1106.53033arXivmath/0509147OpenAlexW2145857495WikidataQ115156382 ScholiaQ115156382MaRDI QIDQ857398

Ilka Agricola, Thomas Friedrich

Publication date: 14 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0509147

zbMATH Keywords

Killing vector fieldKilling spinorconnectionparallel spinorcharacteristic connectionparallel formintrinsic torsionspin groupWeyl geometry\(G\)-structurecharacteristic torsionHopf structurespecial \(G\)-structure

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)

Related Items (9)

\(\mathrm{Spin}(9)\) geometry of the octonionic Hopf fibration ⋮ Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds ⋮ On the topology and the geometry of SO(3)-manifolds ⋮ A note on flat metric connections with antisymmetric torsion ⋮ Manifolds with vectorial torsion ⋮ Eigenvalue estimates for Dirac operators with parallel characteristic torsion ⋮ Parallel spinors on Lorentzian Weyl spaces ⋮ The role of \(\mathrm{Spin}(9)\) in octonionic geometry ⋮ Spinorial classification of Spin(7) structures

Cites Work

• Almost Hermitian 6-manifolds revisited
• Weak Spin(9)-structures on 16-dimensional Riemannian manifolds
• Conformally parallel \(G_2\) structures on a class of solvmanifolds
• On the holonomy of connections with skew-symmetric torsion
• On the metric structure of non-Kähler complex surfaces
• The geodesics of metric connections with vectorial torsion
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Structures de Weyl-Einstein, espace de twisteurs et variétés de type S1 x S3.
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