The left-invariant Sasakian structure on the group model of the real extension of the Lobachevsky plane

DOI10.22405/2226-8383-2023-24-1-114-126MaRDI QIDQ6153766

Unnamed Author, Vladimir Ivanovich Pan'Zhenskii

Publication date: 14 February 2024

Published in: Chebyshevskii Sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb1286

zbMATH Keywords

Lobachevsky planecontact metric connectioncontact geodesicsleft-invariant Sasakian structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Contact manifolds (general theory) (53D10) Sub-Riemannian geometry (53C17)

Cites Work

• Unnamed Item
• Unnamed Item
• Three-dimensional homogeneous almost contact metric structures
• On almost contact metric 1-hypersurfaces in Kählerian manifolds
• Left-invariant hypercontact structures on three-dimensional Lie groups
• Paracontact metric structures on the unit tangent sphere bundle
• Left invariant contact structures on Lie groups
• Contact manifolds in Riemannian geometry
• The almost contact metric hypersurfaces with small type numbers in \(W_4\)-manifolds
• The contact metric connection on the Heisenberg group
• The automorphism groups of almost contact Riemannian manifolds
• Almost Contact Metric Spaces with N-connection
• LEFT-INVARIANT PARA-SASAKIAN STRUCTURES ON LIE GROUPS
• Left-invariant para-Sasakian structure on the Heisenberg group
• ON PARASASAKIAN STRUCTURES ON FIVEDIMENSIONAL LIE ALGEBRAS
• ∇N-EINSTEIN ALMOST CONTACT METRIC MANIFOLDS
• Five-dimensional paracontact Lie algebras

This page was built for publication: The left-invariant Sasakian structure on the group model of the real extension of the Lobachevsky plane