Pencils of compatible metrics and integrable systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 72 (2017) no. 5, pp. 889-937

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This survey is devoted to the theory of pencils of compatible Riemannian and pseudo-Riemannian metrics, related non-linear integrable systems, and applications. Bibliography: 82 titles.
Keywords: compatible metrics, compatible connections and curvatures, orthogonal curvilinear coordinate systems, Nijenhuis tensor, integrable systems, systems of hydrodynamic type.
Mots-clés : Riemann invariants
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O. I. Mokhov. Pencils of compatible metrics and integrable systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 72 (2017) no. 5, pp. 889-937. http://geodesic.mathdoc.fr/item/RM_2017_72_5_a2/