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Argument Shift Method and Sectional Operators: Applications to Differential Geometry

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This paper is an attempt to present, in a systematic way, a construction that establishes an interesting relationship between some ideas and notions well known in the theory of integrable systems on Lie algebras and a rather different area of mathematics studying projectively equivalent Riemannian and pseudo-Riemannian metrics.

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Authors and Affiliations

  1. School of Mathematics, Loughborough University, Leicestershire, LE11 3TU, UK

    A. V. Bolsinov

  2. Moscow State University, Moscow, Russia

    A. V. Bolsinov

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  1. A. V. Bolsinov
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Correspondence to A. V. Bolsinov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 3, pp. 5–31, 2015.

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Bolsinov, A.V. Argument Shift Method and Sectional Operators: Applications to Differential Geometry. J Math Sci 225, 536–554 (2017). https://doi.org/10.1007/s10958-017-3476-3

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