Pencils of compatible metrics and integrable systems

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Russian mathematical surveys 2017-10, Vol.72 (5), p.889-937
1. Verfasser:	Mokhov, O. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	compatible connections and curvatures compatible metrics integrable systems Nijenhuis tensor Nonlinear systems orthogonal curvilinear coordinate systems Riemann invariants systems of hydrodynamic type
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Beschreibung
Zusammenfassung:	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.
ISSN:	0036-0279 1468-4829
DOI:	10.1070/RM9792