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Poincaré-invariant structures in the solution manifold of a nonlinear wave equation. (English) Zbl 0599.58007

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

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
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