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Sub-Riemannian Cartan Sphere

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Abstract

The structure of the intersection of the sub-Riemannian sphere on the Cartan group with a 3-dimensional invariant manifold of main symmetries is described.

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ACKNOWLEDGMENTS

The author is grateful to the reviewer for helpful comments on the exposition.

Funding

This work was supported by the Russian Science Foundation, project no. 22-11-00140, https://rscf.ru/project/22-11-00140/.

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Authors and Affiliations

  1. Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky, Yaroslavl oblast, Russia

    Yu. L. Sachkov

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  1. Yu. L. Sachkov
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Correspondence to Yu. L. Sachkov.

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The author declares that he has no conflicts of interest.

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Translated by I. Ruzanova

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Sachkov, Y.L. Sub-Riemannian Cartan Sphere. Dokl. Math. 106, 462–466 (2022). https://doi.org/10.1134/S1064562422700028

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  • DOI: https://doi.org/10.1134/S1064562422700028

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