Cocalibrated G_2-manifolds with Ricci flat characteristic connection

zbMath1276.53055arXiv1303.7444MaRDI QIDQ2844465

Thomas Friedrich

Publication date: 28 August 2013

Full work available at URL: https://arxiv.org/abs/1303.7444

zbMATH Keywords

parallel vector fieldsconnections with torsioncocalibrated \(G_2\)-manifolds

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 (2)

A new \(\frac{1}{2}\)-Ricci type formula on the spinor bundle and applications ⋮ The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold

Cites Work

• A note on flat metric connections with antisymmetric torsion
• Killing spinor equations in dimension 7 and geometry of integrable \(G_{2}\)-manifolds
• On the holonomy of connections with skew-symmetric torsion
• Local rigidity of certain classes of almost Kähler 4-manifolds
• The Casimir operator of a metric connection with skew-symmetric torsion
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Calabi-Yau connections with torsion on toric bundles
• \(G_2\)-manifolds with parallel characteristic torsion
• EINSTEIN MANIFOLDS WITH SKEW TORSION
• A SPLITTING THEOREM FOR KÄHLER MANIFOLDS WHOSE RICCI TENSORS HAVE CONSTANT EIGENVALUES

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