Lorentzian geometry of the Heisenberg group
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Publication:2498414
DOI10.1007/s10711-005-9030-3zbMath1094.53065OpenAlexW1889840921MaRDI QIDQ2498414
Publication date: 16 August 2006
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10711-005-9030-3
Analysis on real and complex Lie groups (22E30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (22)
On Lorentzian Ricci solitons on nilpotent Lie groups ⋮ Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces ⋮ Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds ⋮ Lorentz Ricci solitons of four-dimensional non-abelian nilpotent Lie groups ⋮ On the geometry of higher dimensional Heisenberg groups ⋮ Unnamed Item ⋮ On the geometry of para-hypercomplex 4-dimensional Lie groups ⋮ Three-dimensional Lorentz geometries: Classification and completeness ⋮ Gauss–Bonnet theorems and the Lorentzian Heisenberg group ⋮ The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds ⋮ Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3 ⋮ A classification of left-invariant Lorentzian metrics on some nilpotent Lie groups ⋮ Isometries, geodesics and Jacobi fields of Lorentzian Heisenberg group ⋮ Minimal surfaces in three dimensional Lorentzian Heisenberg group ⋮ On the isometry groups of invariant Lorentzian metrics on the Heisenberg group ⋮ Unnamed Item ⋮ Lorentz Ricci solitons on 3-dimensional Lie groups ⋮ Unnamed Item ⋮ On the geometrical properties of Heisenberg groups ⋮ Isometric immersions into a homogeneous Lorentzian Heisenberg group and rigidity ⋮ Unnamed Item ⋮ A classification of left-invariant pseudo-Riemannian metrics on some nilpotent Lie groups
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