Flows of Co-closed $$G_{2}$$-Structures

DOI10.1007/978-1-0716-0577-6_12zbMath1447.53004arXiv1811.10505OpenAlexW2901689887MaRDI QIDQ5119725

Sergey Grigorian

Publication date: 1 September 2020

Published in: Lectures and Surveys on G2-Manifolds and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10505

zbMATH Keywords

uniquenessshort-time existenceheat equation for a 3-formLaplacian of a \(G_2\)-structuremodified coflow

Mathematics Subject Classification ID

Calibrations and calibrated geometries (53C38) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) (G)-structures (53C10) Geometric evolution equations (53E99)

Related Items (2)

A new example of a compact ERP G2‐structure ⋮ Geometric flows and supersymmetry

Cites Work

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• Deformations of \(G_2\)-structures with torsion
• Modified Laplacian coflow of \(G_{2}\)-structures on manifolds with symmetry
• Soliton solutions for the Laplacian co-flow of some \(G_2\)-structures with symmetry
• \(G_{2}\)-structures and octonion bundles
• Laplacian flow for closed \(\mathrm{G}_{2}\) structures: Shi-type estimates, uniqueness and compactness
• Riemannian manifolds with structure group \(G_ 2\)
• Local geometry of the \(G_{2}\) moduli space
• On the geometry of closed \(G_{2}\)-structures
• New invariants of \(G_{2}\)-structures
• Curvature decomposition of \(G_2\)-manifolds
• Deforming metrics in the direction of their Ricci tensors
• Metrics with exceptional holonomy
• Deforming the metric on complete Riemannian manifolds
• The geometry of three-forms in six dimensions.
• Stability of torsion-free \(\text{G}_2\) structures along the Laplacian flow
• The Laplacian coflow on almost-abelian Lie groups
• Three-manifolds with positive Ricci curvature
• Stability of geometric flows of closed forms
• Laplacian coflow for warped \(G_2\)-structures
• Short-time behaviour of a modified Laplacian coflow of \(G_2\)-structures
• Deformations of G₂ and Spin(7) Structures
• FLOWS OF G2-STRUCTURES, I
• The inverse function theorem of Nash and Moser
• Shi-type estimates and finite time singularities of flows of G2 structures

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