Three-dimensional homogeneous almost contact metric structures

DOI10.1016/j.geomphys.2013.03.001zbMath1282.53063OpenAlexW1972193408WikidataQ125116446 ScholiaQ125116446MaRDI QIDQ387266

Giovanni Calvaruso

Publication date: 20 December 2013

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.03.001

zbMATH Keywords

homogeneous manifoldsalmost contact metric structurescontact metric structuresthree-dimensional Riemannian Lie groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10)

Related Items (7)

Invariant affinor and sub-Kähler structures on homogeneous spaces ⋮ Invariant almost contact structures and connections on the Lobachevsky space ⋮ Classification of almost contact metric structures on 3D Lie groups ⋮ The left-invariant Sasakian structure on the group model of the real extension of the Lobachevsky plane ⋮ Left-invariant para-Sasakian structure on the group model of the real extension of the de Sitter plane ⋮ Left-invariant hypercontact structures on three-dimensional Lie groups ⋮ Natural almost contact structures and their 3D homogeneous models

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