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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2022 Volume 507, Pages 66–70 (Mi danma321)

This article is cited in 2 papers

MATHEMATICS

Sub-Riemannian Cartan sphere

Yu. L. Sachkov

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

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.

Keywords: Cartan group, sub-Riemannian geometry, sub-Riemannian sphere.

UDC: 517.977

Presented: R. V. Gamkrelidze
Received: 14.06.2022
Revised: 31.08.2022
Accepted: 13.09.2022

DOI: 10.31857/S2686954322600434


 English version:
Doklady Mathematics, 2022, 106:3, 462–466

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© Steklov Math. Inst. of RAS, 2024