Quaternionic Heisenberg groups as naturally reductive homogeneous spaces

DOI10.1142/S0219887815600075zbMath1333.53069arXiv1503.08350OpenAlexW3098300903WikidataQ115156369 ScholiaQ115156369MaRDI QIDQ3465823

Ana Cristina Ferreira, Ilka Agricola, Reinier Storm

Publication date: 22 January 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08350

zbMATH Keywords

generalized Killing spinorsnaturally reductive homogeneous spacesquaternionic Heisenberg groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27)

Related Items

Tangent Lie groups are Riemannian naturally reductive spaces ⋮ Odd‐dimensional counterparts of abelian complex and hypercomplex structures ⋮ Structure theory of naturally reductive spaces ⋮ Generalizations of 3-Sasakian manifolds and skew torsion ⋮ The Classification of 7- and 8-dimensional Naturally Reductive Spaces ⋮ A new construction of naturally reductive spaces ⋮ On degenerate 3-\((\alpha, \delta)\)-Sasakian manifolds

Cites Work

• Twistorial eigenvalue estimates for generalized Dirac operators with torsion
• Generalized Killing spinors on spheres
• The classification of naturally reductive homogeneous spaces in dimensions \(n\leq 6\)
• Quaternionic contact structures in dimension 7
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• 3-Sasakian manifolds in dimension seven, their spinors and G\(_2\)-structures
• Quaternionic contact manifolds with a closed fundamental 4-form
• REDUCED HOLONOMY, HYPERSURFACES AND EXTENSIONS