LEFT-INVARIANT PARA-SASAKIAN STRUCTURES ON LIE GROUPS

DOI10.17223/19988621/62/3zbMath1497.53068OpenAlexW3011760413MaRDI QIDQ5046344

Unnamed Author

Publication date: 28 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu741

zbMATH Keywords

para-Sasakian structurespara-Sasakian manifoldpara-Kähler structuresleft-invariant paracontact structurespara-complex structures

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

Related Items (4)

ON PARASASAKIAN STRUCTURES ON FIVEDIMENSIONAL LIE ALGEBRAS ⋮ Invariant almost contact structures and connections on the Lobachevsky space ⋮ 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

• Unnamed Item
• Left invariant contact structures on Lie groups
• Contact manifolds in Riemannian geometry
• Legendre curves on generalized paracontact metric manifolds
• Symplectic or contact structures on Lie groups
• Para-Sasakian manifolds and \(\ast\)-Ricci solitons
• Homogeneous para-Kähler Einstein manifolds
• Cones over pseudo-Riemannian manifolds and their holonomy
• On para-sasakian manifolds satisfying certain curvature conditions

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