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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Bibliographic Details
Published in:Russian mathematical surveys 2017-10, Vol.72 (5), p.889-937
Main Author: Mokhov, O. I.
Format: Article
Language:English
Subjects:
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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Description
Summary: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