Cohomogeneity one solitons for the isometric flow of \(\mathrm{G}_2\)-structures

DOI10.1007/s10711-024-00954-8MaRDI QIDQ6623100

Thomas A. Ivey, Spiro Karigiannis

Publication date: 23 October 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

\(\mathrm{G}_2\)-structuresisometric flow solitons

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Issues of holonomy in differential geometry (53C29) Geometric evolution equations (53E99)

Cites Work

• Unnamed Item
• Soliton solutions for the Laplacian co-flow of some \(G_2\)-structures with symmetry
• \(G_{2}\)-structures and octonion bundles
• Basic theory of ordinary differential equations
• On the construction of some complete metrics with exceptional holonomy
• Estimates and Monotonicity for a heat flow of isometric \(G_2\)-structures
• The energy functional of \(G_2\)-structures compatible with a background metric
• A gradient flow of isometric \(\text{G}_2\)-structures
• Bryant-Salamon \(\mathrm{G}_2\) manifolds and coassociative fibrations
• Nonexistence of Shrinkers for the Harmonic Map Flow in Higher Dimensions
• Deformations of G₂ and Spin(7) Structures
• FLOWS OF G2-STRUCTURES, I
• Harmonic flow of Spin(7)-structures
• Isometric flows of \(G_2\)-structures

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