Left-invariant hypercontact structures on three-dimensional Lie groups

DOI10.1007/S10998-014-0054-ZzbMath1340.53056OpenAlexW2093271751WikidataQ115381954 ScholiaQ115381954MaRDI QIDQ484562

Antonella Perrone, Giovanni Calvaruso

Publication date: 7 January 2015

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0054-z

zbMATH Keywords

three-dimensional Lie groupalmost contact metric 3-structureleft-invariant hypercontact structuremixed metric 3-structureparallelizable 3-manifoldtaut contact sphere

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lie groups (22E99) Almost contact and almost symplectic manifolds (53D15) Linear and affine connections (53B05)

Related Items (4)

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 ⋮ Paraquaternionic CR-Submanifolds ⋮ Natural almost contact structures and their 3D homogeneous models

Cites Work

• Unnamed Item
• Three-dimensional homogeneous almost contact metric structures
• Canonical connections on paracontact manifolds
• Hypercontact structures and Floer homology
• Contact pseudo-metric manifolds
• The topology of 4-manifolds
• Curvatures of left invariant metrics on Lie groups
• Contact geometry and complex surfaces
• Real lightlike hypersurfaces of paraquaternionic Kähler manifolds
• 3-Sasakian manifolds, 3-cosymplectic manifolds and Darboux theorem
• Hypercontact Manifolds
• On a contact 3-structure

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