QR-submanifolds and Riemannian metrics with holonomy \(G_2\)

DOI10.1134/S0001434611110149zbMath1283.53047OpenAlexW2074861530WikidataQ115253958 ScholiaQ115253958MaRDI QIDQ2435869

Yanyan Li

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611110149

zbMATH Keywords

Riemannian manifoldholonomy group\(G_2\)-manifold\(G_2\)-structureholonomy \(G_2\)QR-submanifold of a hyper-Kähler manifold

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global submanifolds (53C40) Issues of holonomy in differential geometry (53C29)

Cites Work

• Asymptotically cylindrical 7-manifolds of holonomy \(G_{2}\) with applications to compact irreducible \(G _{2}\)-manifolds
• On the construction of some complete metrics with exceptional holonomy
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I
• Postnikov invariants and higher order cohomology operations

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