Almost Hermitian structures with parallel torsion

DOI10.1016/j.geomphys.2007.06.002zbMath1137.53014arXivmath/0703193OpenAlexW2068630362MaRDI QIDQ2469958

Nils Schoemann

Publication date: 11 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0703193

zbMATH Keywords

almost Hermitian structuresconnections with torsion

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) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (14)

Tangent Lie groups are Riemannian naturally reductive spaces ⋮ Eigenvalue estimates for Dirac operators in geometries with torsion ⋮ Bismut connection on Vaisman manifolds ⋮ The mean curvature of special Lagrangian 3-folds in \(\text{SU}(3)\)-structures with torsion ⋮ Twistorial eigenvalue estimates for generalized Dirac operators with torsion ⋮ A new \(\frac{1}{2}\)-Ricci type formula on the spinor bundle and applications ⋮ Metric connections with parallel skew-symmetric torsion ⋮ Homogeneous almost complex structures in dimension 6 with semi-simple isotropy ⋮ The Killing spinor equation with higher order potentials ⋮ \(G_2\)-manifolds with parallel characteristic torsion ⋮ Eigenvalue estimates for Dirac operators with parallel characteristic torsion ⋮ Harmonic \(SU(3)\)- and \(G_2\)-structures via spinors ⋮ Spin (7)-manifolds with parallel torsion form ⋮ Metric connections with parallel twistor-free torsion

Cites Work

• Unnamed Item
• Unnamed Item
• Almost Hermitian 6-manifolds revisited
• Some properties of locally conformal Kähler manifolds
• On the holonomy of connections with skew-symmetric torsion
• Einstein metrics via intrinsic or parallel torsion
• Sasaki-Einstein metrics on \(S^2\times S^3\)
• Partially conformal transformations with respect to \((m-1)\)-dimensional distributions of \(m\)-dimensional Riemannian manifolds
• \(\text{SU}(3)\)-instantons and \(G_{2}\), \(\text{Spin}(7)\)-heterotic string solitons
• Complex structures on nilpotent Lie algebras

This page was built for publication: Almost Hermitian structures with parallel torsion