\(\operatorname{Spin}(7)\)-structure equation and the vector elliptic Liouville equation

DOI10.1186/s13662-018-1765-xzbMath1448.37082OpenAlexW2889276574MaRDI QIDQ1713547

Shiping Zhong

Publication date: 25 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1765-x

zbMATH Keywords

almost complex structureoctonions\(\operatorname{Spin}(7)\)-structure equationvector elliptic Liouville equation

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Spin and Spin({}^c) geometry (53C27) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Cites Work

• Unnamed Item
• Unnamed Item
• \(G_2\)-congruence theorem for curves in purely imaginary octonions and its application
• Submanifolds and special structures on the octonians
• Orthogonal almost complex structures of hypersurfaces of purely imaginary octonions
• Spin(9) and almost complex structures on 16-dimensional manifolds
• Locally conformal parallel \(G_2\) and \(\operatorname{Spin}(7)\) manifolds
• Calibrated geometries
• Infinite conformal symmetry in two-dimensional quantum field theory
• Almost complex structures on spheres
• Curvature functions for open 2-manifolds
• C-integrability of the Belavin-Polyakov equation using classical differential geometry
• Solitons on moving space curves
• Geometric phase in the classical continuous antiferromagnetic Heisenberg spin chain
• ON G₂-INVARIANTS OF CURVES IN PURELY IMAGINARY OCTONIONS
• Groupes de Lie et Puissances Reduites de Steenrod

This page was built for publication: \(\operatorname{Spin}(7)\)-structure equation and the vector elliptic Liouville equation