Segal, Irving E. Poincaré-invariant structures in the solution manifold of a nonlinear wave equation. (English) Zbl 0599.58007 Rev. Mat. Iberoam. 2, No. 1-2, 99-104 (1986). The main result is the construction of an almost Kähler structure on the space of (generalized) solutions of the equation \(\square \phi +g\phi^ 3=0\) on Minkowski spacetime. The paper is not self-contained: the serious reader will want copies of all eight cited references at hand (one of which is a Ph. D. dissertation). Reviewer: P.E.Parker Cited in 2 Documents MSC: 58B20 Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds 35L70 Second-order nonlinear hyperbolic equations 53C55 Global differential geometry of Hermitian and Kählerian manifolds Keywords:nonlinear wave equation; solution manifold; Poincaré invariance; almost Kähler structure; Minkowski spacetime PDFBibTeX XMLCite \textit{I. E. Segal}, Rev. Mat. Iberoam. 2, No. 1--2, 99--104 (1986; Zbl 0599.58007) Full Text: DOI EuDML