Metric connections with parallel twistor-free torsion

DOI10.1142/S0129167X21400115zbMath1490.53036arXiv2012.10882OpenAlexW3177411926MaRDI QIDQ5021424

Andrei Moroianu, Mihaela Pilca

Publication date: 13 January 2022

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

Full work available at URL: https://arxiv.org/abs/2012.10882

zbMATH Keywords

symmetric spacesmetric connections with torsioncompact Lie algebrastraceless cyclic torsion

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35) Connections (general theory) (53C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The classification of naturally reductive homogeneous spaces in dimensions \(n\leq 6\)
• Almost contact metric 5-manifolds and connections with torsion
• \(Sp(n)U(1)\)-connections with parallel totally skew-symmetric torsion
• On the homogeneous Riemannian structures of type \({\mathcal T}_ 1\oplus {\mathcal T}_ 3\)
• Einstein metrics via intrinsic or parallel torsion
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Connections with torsion, parallel spinors and geometry of Spin(7) manifolds
• Generalizations of 3-Sasakian manifolds and skew torsion
• Metric connections with parallel skew-symmetric torsion
• On homogeneous Riemannian manifolds
• Almost Hermitian structures with parallel torsion
• \(G_2\)-manifolds with parallel characteristic torsion
• The skew-torsion holonomy theorem and naturally reductive spaces
• Nearly Kähler 6-manifolds with reduced holonomy
• Manifolds with vectorial torsion

This page was built for publication: Metric connections with parallel twistor-free torsion