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

Abstract

We study Spin(9)-structures on 16-dimensional Riemannian manifolds and characterize the geometric types admitting a connection with totally skew-symmetric torsion.

Latex2e, 8 pages

References in corpus (4)

• Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds
• On types of non-integrable geometries
• Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
• Quaternionic Kähler and hyperKähler manifolds with torsion and twistor spaces

Cited by in corpus (8)

• Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds
• On types of non-integrable geometries
• Almost Hermitian 6-Manifolds Revisited
• M-theory on manifolds of G2 holonomy: the first twenty years
• The canonical 8-form on manifolds with holonomy group Spin(9)
• Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a $Spin(9)$-structure
• Spin(9) and almost complex structures on 16-dimensional manifolds
• Canonical Submersions in Nearly Kähler Geometry