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Classification of 4-dimensional conformally foliated Lie groups with minimal leaves and natural almost hyper-Hermitian structure Full article

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Output data Year: 2026, Volume: 23, Number: 1, Pages: 673-693 Pages count : 21 DOI: 10.33048/semi.2026.23.042
Tags foliations, almost hyper-Hermitian structures
Authors Aksyonov D.V. 1 , Daurtseva N.A. 2
Affiliations
1 Novosibirsk State University
2 Sobolev Institute of Mathematics

Funding (1)

1 Министерство науки и высшего образования РФ 075-15-2025-348

Abstract: Let (G, g) be a 4-dimensional Riemannian Lie group that admits a left-invariant conformal foliation with minimal leaves of codimension 2. Such a group possesses a natural almost hyper- Hermitian structure. The authors classify these Lie groups according to the types of this structure.
Cite: Aksyonov D.V. , Daurtseva N.A.
Classification of 4-dimensional conformally foliated Lie groups with minimal leaves and natural almost hyper-Hermitian structure
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2026. V.23. N1. P.673-693. DOI: 10.33048/semi.2026.23.042 WOS Scopus
Dates:
Submitted: Dec 29, 2025
Published online: Aug 25, 2026
Identifiers:
≡ Web of science: WOS:001886708800003
≡ Scopus: 2-s2.0-105050188652
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