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Russian Mathematical Surveys, 2017, Volume 72, Issue 5, Pages 889–937
DOI: https://doi.org/10.1070/RM9792 (Mi rm9792) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Pencils of compatible metrics and integrable systems

O. I. Mokhov

Lomonosov Moscow State University
English version PDF (846 kB) Citations (10)
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DOI: https://doi.org/10.1070/RM9792
Abstract: 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, Riemann invariants, integrable systems, systems of hydrodynamic type.
Funding agency Grant number
Russian Science Foundation 16-11-10260
This work was supported by the Russian Science Foundation under grant 16-11-10260.
Received: 21.06.2017
Russian version:
Uspekhi Matematicheskikh Nauk, 2017, Volume 72, Issue 5(437), Pages 113–164
DOI: https://doi.org/10.4213/rm9792
Bibliographic databases:
Document Type: Article
MSC: Primary 37K10, 37K25, 53B21, 53C21; Secondary 53B50
Language: English
Original paper language: Russian
Citation: O. I. Mokhov, “Pencils of compatible metrics and integrable systems”, Uspekhi Mat. Nauk, 72:5(437) (2017), 113–164; Russian Math. Surveys, 72:5 (2017), 889–937
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:698
    Russian version PDF:112
    English version PDF:19
    References:69
    First page:48
     
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