Left invariant contact structures on Lie groups
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Publication:953921
DOI10.1016/j.difgeo.2008.04.001zbMath1152.53064arXivmath/0403555OpenAlexW1998803525WikidataQ115357566 ScholiaQ115357566MaRDI QIDQ953921
Publication date: 6 November 2008
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0403555
Symplectic and contact topology in high or arbitrary dimension (57R17) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10)
Related Items (36)
ASSOCIATED LEFT-INVARIANT CONTACT METRIC STRUCTURES ON THE 7-DIMENSIONAL HEISENBERG GROUP H7 ⋮ LEFT-INVARIANT PARA-SASAKIAN STRUCTURES ON LIE GROUPS ⋮ Coadjoint orbits of Lie algebras and Cartan class ⋮ ON PARASASAKIAN STRUCTURES ON FIVEDIMENSIONAL LIE ALGEBRAS ⋮ Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups ⋮ Contact twistor spaces and almost contact metric structures ⋮ Cocalibrated \(\mathrm G_2\)-structures on products of four- and three-dimensional Lie groups ⋮ Unnamed Item ⋮ Left-symmetric algebra structures on contact Lie algebras ⋮ Odd‐dimensional counterparts of abelian complex and hypercomplex structures ⋮ On toral posets and contact Lie algebras ⋮ Unnamed Item ⋮ Contact nilpotent Lie algebras ⋮ Invariant almost contact structures and connections on the Lobachevsky space ⋮ 5-dimensional indecomposable contact Lie algebras as double extensions ⋮ 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 ⋮ Characterization of contact Lie superalgebras ⋮ Closed \(\mathrm{G}_2\)-structures on unimodular Lie algebras with non-trivial center ⋮ On locally conformal symplectic manifolds of the first kind ⋮ Five-dimensional \(K\)-contact Lie algebras ⋮ Contact and Frobenius solvable Lie algebras with abelian nilradical ⋮ Unnamed Item ⋮ Invariant structures on Lie groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Contact and Frobeniusian forms on Lie groups ⋮ Solvable Lie algebras are not that hypo ⋮ Five-dimensional paracontact Lie algebras ⋮ A class of Sasakian 5-manifolds ⋮ Complex, symplectic, and contact structures on low-dimensional Lie groups ⋮ Locally conformal symplectic structures on Lie algebras of type I and their solvmanifolds ⋮ Principal derivations and codimension one ideals in contact and Frobenius Lie algebras ⋮ Weakly regular Jacobi structures and generalized contact bundles ⋮ Deformation theory of contact Lie algebras as double extensions ⋮ Almost contact Hom-Lie algebras and Sasakian Hom-Lie algebras
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