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On Metrics of Diagonal Curvature

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Abstract

In this paper, the theory of spaces of diagonal curvature is developed. An efficient necessary condition for metrics of diagonal curvature, namely, the vanishing of the Haantjes tensor for the Ricci affinor, is obtained. Examples are constructed.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    O. I. Mokhov

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  1. O. I. Mokhov
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Correspondence to O. I. Mokhov.

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In memory of Yuri Petrovich Solovyov

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 21, No. 6, pp. 171–182, 2016.

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Mokhov, O.I. On Metrics of Diagonal Curvature. J Math Sci 248, 780–787 (2020). https://doi.org/10.1007/s10958-020-04912-z

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  • DOI: https://doi.org/10.1007/s10958-020-04912-z

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