On a class of Lie groups with a left invariant flat pseudo-metric
From MaRDI portal
Publication:651410
DOI10.1007/s00605-010-0207-yzbMath1248.17001OpenAlexW2012018185WikidataQ115385619 ScholiaQ115385619MaRDI QIDQ651410
Dongping Hou, Zhiqi Chen, Cheng-Ming Bai
Publication date: 13 December 2011
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-010-0207-y
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)
Related Items (2)
Pseudo-Hessian Lie algebras and L-dendriform bialgebras ⋮ A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups
- Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure
- Some results on L-dendriform algebras
- Complete left-invariant affine structures on nilpotent Lie groups
- On Lie groups with left-invariant symplectic or Kählerian structures
- Homogeneous Hessian manifolds
- Hamiltonian operators and algebraic structures related to them
- Flat left-invariant connections adapted to the automorphism structure of a Lie group
- Curvatures of left invariant metrics on Lie groups
- Hopf algebras, renormalization and noncommutative geometry
- Quantization of geometric classical \(r\)-matrices
- Flat pseudo-Riemannian Lie groups
- Classical Yang-Baxter equation and left invariant affine geometry on Lie groups
- The cohomology structure of an associative ring
- Left-symmetric algebras, or pre-Lie algebras in geometry and physics
- LEFT-SYMMETRIC BIALGEBRAS AND AN ANALOGUE OF THE CLASSICAL YANG–BAXTER EQUATION
- What a Classical r-Matrix Really Is
- First Integrals Generated by Pseudosymmetries in Nambu-Poisson Mechanics
- A unified algebraic approach to the classical Yang–Baxter equation
- Complex product structures on Lie algebras
- Domaines bornés homogènes et orbites de groupes de transformations affines
- Symplectic Homogeneous Spaces
This page was built for publication: On a class of Lie groups with a left invariant flat pseudo-metric