Deformations of nearly parallel \(G_2\)-structures

DOI10.4310/AJM.2012.v16.n4.a6zbMath1266.53048arXiv1101.2143OpenAlexW2074805122MaRDI QIDQ1939226

Bogdan Alexandrov, Uwe Semmelmann

Publication date: 27 February 2013

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2143

zbMATH Keywords

deformations\(G_2\)-Laplacianinfinitesimal Einstein deformationsnearly parallel \(G_2\)-structures

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Deformations of general structures on manifolds (58H15) (G)-structures (53C10)

Related Items (11)

Deformations of nearly G2 structures ⋮ Deformations of \(\text{G}_2\)-instantons on nearly \(\text{G}_2\) manifolds ⋮ Rarita-Schwinger fields on nearly parallel \(\operatorname{G}_2\)-manifolds ⋮ Deformation theory of asymptotically conical \(Spin(7)\)-instantons ⋮ The \(\mathrm{G}_2\) geometry of 3-Sasaki structures ⋮ Jacobi relations on naturally reductive spaces ⋮ Energy functionals and soliton equations for \(G_2\)-forms ⋮ Lagrangian submanifolds in strict nearly Kähler 6-manifolds ⋮ Nearly Parallel G₂-structures with Large Symmetry Group ⋮ Linear instability of Sasaki Einstein and nearly parallel G2 manifolds ⋮ Killing and twistor spinors with torsion

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