GL(2)‐geometry and complex structures

DOI10.1112/jlms.12472zbMath1490.53038arXiv1910.12669OpenAlexW2981524235MaRDI QIDQ5034132

Wojciech Kryński

Publication date: 24 February 2022

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12669

Mathematics Subject Classification ID

Twistor methods in differential geometry (53C28) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Exterior differential systems (Cartan theory) (58A15) Linear and affine connections (53B05) (G)-structures (53C10)

Related Items (1)

Holomorphic G-Structures and Foliated Cartan Geometries on Compact Complex Manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Paraconformal structures, ordinary differential equations and totally geodesic manifolds
• Reduction of \(\beta\)-integrable 2-Segre structures
• Integrable \(\mathrm{GL}(2)\) geometry and hydrodynamic partial differential equations
• Nonlinear gravitons, null geodesics, and holomorphic disks
• \(\mathrm{GL}(2,\mathbb R)\) geometry of ODEs
• Paraconformal structures and differential equations
• Comment on \(GL(2, \mathbb R)\) geometry of fourth-order ODEs
• Webs, Veronese curves, and bihamiltonian systems
• Nonlinear gravitons and curved twistor theory
• Differential geometric aspects of causal structures
• Transformation groups in differential geometry.
• The Cayley cubic and differential equations
• GL(2)-structures in dimension four, \(H\)-flatness and integrability
• Veronese webs and nonlinear PDEs
• Integrable background geometries
• Paraconformal geometry of \(n\)th-order ODEs, and exotic holonomy in dimension four
• Dispersionless integrable systems in 3D and Einstein-Weyl geometry
• Differential equations and conformal structures
• Integrability via geometry: dispersionless differential equations in three and four dimensions
• Einstein–Weyl spaces and third-order differential equations
• Einstein–Weyl geometry, dispersionless Hirota equation and Veronese webs
• On the Einstein-Weyl and conformal self-duality equations
• Dispersionless integrable hierarchies and GL(2, ℝ) geometry
• Weyl metrisability of two-dimensional projective structures
• Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations
• Sur une classe d'espaces de Weyl
• Differential geometry from differential equations

This page was built for publication: GL(2)‐geometry and complex structures