Shi-type estimates and finite time singularities of flows of G2 structures

DOI10.1093/qmath/hax060zbMath1425.53033arXiv1703.08526OpenAlexW2781770513MaRDI QIDQ4684295

Gao Chen

Publication date: 28 September 2018

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

Full work available at URL: https://arxiv.org/abs/1703.08526

zbMATH Keywords

singularitiesblow-upholonomy grouptorsion tensorLaplacian flowLaplacian co-flownon-collapsing theorem

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) (G)-structures (53C10) Methods of local Riemannian geometry (53B21) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (12)

Flows of \(G_2\)-structures on contact Calabi-Yau 7-manifolds ⋮ Spacelike mean curvature flow ⋮ Local derivative estimates for the heat equation coupled to the Ricci flow ⋮ Harmonic flow of geometric structures ⋮ The Coulomb gauge in non-associative gauge theory ⋮ Closed \({G_2}\)-structures on compact quotients of Lie groups ⋮ Geometric flows and supersymmetry ⋮ Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures ⋮ Laplacian Flow for Closed $$\mathrm{G}_2$$ Structures ⋮ Flows of Co-closed $$G_{2}$$-Structures ⋮ Hypersymplectic 4-manifolds, the \(G_2\)-Laplacian flow, and extension assuming bounded scalar curvature ⋮ Stability of geometric flows of closed forms

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