Classification of 4-dimensional conformally foliated Lie groups with minimal leaves and natural almost hyper-Hermitian structure
Classification of 4-dimensional conformally foliated Lie groups with minimal leaves and natural almost hyper-Hermitian structure
Siberian Electronic Mathematical Reports, 23, 1, pp. 673-693 (2026)
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.
Keywords: foliations, almost hyper-Hermitian structures