On the geometry of higher dimensional Heisenberg groups
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Publication:2633664
DOI10.1007/s00009-019-1303-4zbMath1420.53077OpenAlexW2911266361WikidataQ128412101 ScholiaQ128412101MaRDI QIDQ2633664
Publication date: 9 May 2019
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-019-1303-4
Heisenberg groupharmonic vector fieldhomogeneous structureparallel hypersurfacegeneralized Ricci soliton
Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (2)
Classification of left invariant Riemannian metrics on complex hyperbolic space ⋮ On the Finsler geometry of the Heisenberg group $H_{2n+1}$ and its extension
Cites Work
- Cyclic Lorentzian Lie groups
- Generalized Ricci solitons
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- Examples of algebraic Ricci solitons in the pseudo-Riemannian case
- On the geometrical properties of solvable Lie groups
- Lorentz metrics on unimodular Lie groups of dimension three
- Einstein-like manifolds which are not Einstein
- Generalized Heisenberg groups and Damek-Ricci harmonic spaces
- On the geometry of para-hypercomplex 4-dimensional Lie groups
- Three-dimensional homogeneous generalized Ricci solitons
- Homogeneous Riemannian structures on some solvable extensions of the Heisenberg group
- Classification of left-invariant metrics on the Heisenberg group
- Lorentzian geometry of the Heisenberg group
- Parallel and totally geodesic hypersurfaces of solvable Lie groups
- On the geometry of some solvable extensions of the Heisenberg group
- Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds
- Ricci soliton homogeneous nilmanifolds
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