The contact metric connection on the Heisenberg group

DOI10.3103/S1066369X18110051zbMath1420.53062OpenAlexW2902193549WikidataQ128900241 ScholiaQ128900241MaRDI QIDQ1735120

Xianqiang Yang

Publication date: 28 March 2019

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18110051

zbMATH Keywords

Heisenberg groupsectional curvatureSasakian structureconnection with skew-torsion

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of symmetric spaces (53C35) Linear and affine connections (53B05)

Related Items (3)

The contact metric connection with skew torsion ⋮ 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

Cites Work

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• On the Hausdorff volume in sub-Riemannian geometry
• Contact manifolds in Riemannian geometry
• The automorphism groups of almost contact Riemannian manifolds
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
• Topics in sub-Riemannian geometry
• The Sasakian Geometry of the Heisenberg Group
• Quasi-Sasakian Homogeneous Structures on the Generalized Heisenberg Group H(p, 1)

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