Half-flat structures on \(S^3\times S^3\)

DOI10.1007/s10455-013-9371-3zbMath1285.53038arXiv1211.6845OpenAlexW2170463835MaRDI QIDQ2434950

Thomas Bruun Madsen, S. M. Salamon

Publication date: 3 February 2014

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6845

zbMATH Keywords

matrix algebrarepresentation theory\(G_2\) structures\(\mathrm{SU}(3)\)Ricci-flat metricsnearly-Kähler structure

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kaluza-Klein and other higher-dimensional theories (83E15) Issues of holonomy in differential geometry (53C29)

Related Items

Coupled \(\mathrm{SU}(3)\)-structures and supersymmetry, On the boundary behavior of left-invariant Hitchin and hypo flows, Generalized Killing spinors on spheres, $$\mathrm{G}_2$$-Instantons on Noncompact $$\mathrm{G}_2$$-Manifolds: Results and Open Problems, Left-invariant Einstein metrics on \(S^3 \times S^3\), \(\operatorname{SU}(2)^2\)-invariant \(G_2\)-instantons, Generalized Killing spinors on Einstein manifolds, Infinitely many new families of complete cohomogeneity one \(G_2\)-manifolds: \(G_2\) analogues of the Taub-NUT and Eguchi-Hanson spaces, Closed \(\mathrm{SL}(3,\mathbb{C})\)-structures on nilmanifolds, \(G_2\)-metrics arising from non-integrable special Lagrangian fibrations, Gravity and induced matter on nearly Kähler manifolds, Half-flat structures inducing Einstein metrics on homogeneous spaces

Uses Software

• Mathematica

Cites Work

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