Contact Lorentzian manifolds

DOI10.1016/J.DIFGEO.2011.04.006zbMath1232.53064OpenAlexW1972365171WikidataQ115356922 ScholiaQ115356922MaRDI QIDQ719814

Giovanni Calvaruso

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.006

zbMATH Keywords

Lorentzian metricspseudo-Riemannian metricscontact structureslocally symmetric and homogeneous contact pseudo-metric three manifolds

Mathematics Subject Classification ID

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 (11)

Frenet curves in 3-dimensional \(\delta\)-Lorentzian trans Sasakian manifolds ⋮ Gauss-Bonnet theorem in lorentzian Sasakian space forms ⋮ FRENET CURVES IN 3-DIMENSIONAL CONTACT LORENTZIAN MANIFOLDS ⋮ Unnamed Item ⋮ Pseudo-parallel characteristic Jacobi operators on contact metric 3 manifolds ⋮ Unnamed Item ⋮ \(\mathcal{D}\)-homothetic deformation on para-Sasaki-like Riemannian manifolds ⋮ Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity ⋮ On Slant Curves in Sasakian Lorentzian 3-Manifolds ⋮ \(\mathcal{D}\)-homothetic deformation on almost contact \(B\)-metric manifolds ⋮ Massey products, A_∞-algebras, differential equations, and Chekanov homology

Cites Work

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• On differentiable manifolds with certain structures which are closely related to almost contact structure. II
• Lorentz metrics on unimodular Lie groups of dimension three
• Two remarks on contact metric structures
• On contact metric manifolds
• Left-invariant Lorentz metrics on Lie groups
• Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
• Addendum to ``Homogeneous structures on three-dimensional Lorentzian manifolds
• The topology of contact Riemannian manifolds
• Sasakian manifold with pseudo-Riemannian metric
• Riemannian geometry of contact and symplectic manifolds

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