Modified Laplacian coflow of \(G_{2}\)-structures on manifolds with symmetry

DOI10.1016/j.difgeo.2016.02.002zbMath1337.53060arXiv1504.05506OpenAlexW3104974015WikidataQ115355741 ScholiaQ115355741MaRDI QIDQ268427

Sergey Grigorian

Publication date: 15 April 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05506

zbMATH Keywords

holonomy\(G_2\)-structuresgeometric flows

Mathematics Subject Classification ID

Related Items (6)

The Coulomb gauge in non-associative gauge theory ⋮ Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures ⋮ Flows of Co-closed $$G_{2}$$-Structures ⋮ Local curvature estimates for the Laplacian flow ⋮ The Laplacian coflow on almost-abelian Lie groups ⋮ Estimates and Monotonicity for a heat flow of isometric \(G_2\)-structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Deformations of \(G_2\)-structures with torsion
• Soliton solutions for the Laplacian co-flow of some \(G_2\)-structures with symmetry
• Riemannian manifolds with structure group \(G_ 2\)
• Energy functionals and soliton equations for \(G_2\)-forms
• Curvature decomposition of \(G_2\)-manifolds
• Metrics with exceptional holonomy
• The structure of nearly Kähler manifolds
• The geometry of three-forms in six dimensions.
• A heat flow for special metrics
• Short-time behaviour of a modified Laplacian coflow of \(G_2\)-structures
• Conformal equivalence between certain geometries in dimension 6 and 7
• MODULI SPACES OF G₂ MANIFOLDS
• Deformations of G₂ and Spin(7) Structures
• FLOWS OF G2-STRUCTURES, I
• The octonions
• UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS

This page was built for publication: Modified Laplacian coflow of \(G_{2}\)-structures on manifolds with symmetry