Some observations on conformal symmetries of \(G_2\)-structures

DOI10.1515/ADVGEOM-2024-0009MaRDI QIDQ6499427

Christopher Lin

Publication date: 8 May 2024

Published in: Advances in Geometry (Search for Journal in Brave)

zbMATH Keywords

Lee formconformal deformation\(G_2\)-structurelocally conformal calibrated

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Invariance and symmetry properties for PDEs on manifolds (58J70) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) (G)-structures (53C10) Conformal structures on manifolds (53C18)

Cites Work

• Locally conformal calibrated \(G_2\)-manifolds
• \(G_{2}\)-structures and octonion bundles
• Riemannian manifolds with structure group \(G_ 2\)
• Locally conformal parallel \(G_2\) and \(\operatorname{Spin}(7)\) manifolds
• Killing spinor equations in dimension 7 and geometry of integrable \(G_{2}\)-manifolds
• Laplacian solitons and symmetry in \(G_2\)-geometry
• \(J\)-harmonic functions on almost Hermitian manifolds
• Deformations of G₂ and Spin(7) Structures
• Hodge theory for G₂ -manifolds: intermediate Jacobians and Abel-Jacobi maps
• FLOWS OF G2-STRUCTURES, I
• Complete Riemannian Manifolds and Some Vector Fields
• On the automorphism group of a closed G2-structure

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