Solutions of A∞ Toda equations based on noncompact group SU(1,1) and infinite-dimensional Grassmann manifolds

DOI10.1063/1.531077zbMath0832.58045OpenAlexW2021787777MaRDI QIDQ4836933

Kazuyuki Fujii

Publication date: 7 March 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531077

zbMATH Keywords

self-dual Einstein equationsinfinite-dimensional Grassmann manifolds\(A_ \infty\) Toda equations

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (2)

Note on coherent states and adiabatic connections, curvatures ⋮ Information geometry and the quantum estimation problem

Cites Work

• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• A relation between instantons of Grassmann \(\sigma\)-models and Toda equations
• Chern-Simons solitons, Toda theories and the chiral model
• Nonlinear Grassmann \(\sigma\)-models, Toda equations, and self-dual Einstein equations: Supplements to previous papers
• Classical Solutions for the Supersymmetric Grassmannian Sigma Models in Two Dimensions. II
• Classical Solutions for the Supersymmetric Grassmannian Sigma Models in Two Dimensions. I
• Symplectic manifolds, coherent states, and semiclassical approximation

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