On Lie groups with left-invariant symplectic or Kählerian structures
From MaRDI portal
Publication:1116105
DOI10.1007/BF00398959zbMath0665.53046OpenAlexW1981514453WikidataQ115395058 ScholiaQ115395058MaRDI QIDQ1116105
Alberto Medina, André Lichnerowicz
Publication date: 1988
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00398959
Differential geometry of homogeneous manifolds (53C30) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)
Related Items
Flat affine or projective geometries on Lie groups, Non-abelian extensions of pre-Lie algebras, Symplectic or contact structures on Lie groups, Graded Left Symmetric Pseudo-algebras, Recent Results on Closed G 2-Structures, Left-symmetric bialgebroids and their corresponding Manin triples, Target space supergeometry of \(\eta\) and \(\lambda\)-deformed strings, Generalised fluxes, Yang-Baxter deformations and the O\((d,d)\) structure of non-abelian \(T\)-duality, Compatible left-symmetric algebraic structures on high rank Witt and Virasoro algebras, Flat affine symplectic Lie groups, Symplectic Novikov Lie algebras, \(N=2\) structures on solvable Lie algebras: The \(c=9\) classification, Special symplectic Lie groups and hypersymplectic Lie groups, Flat affine manifolds and their transformations, Symmetry analysis, integrability and completeness of geodesics of a double of the affine Lie group of the real line, \(F\)-manifold algebras and deformation quantization via pre-Lie algebras, A note on tame/compatible almost complex structures on four-dimensional Lie algebras, On left symmetric color algebras, On α -type (equivariant) cohomology of Hom-pre-Lie algebras, Structure of symplectic Lie groups and momentum map, Riemannian geometry on contact Lie groups, A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups, Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles, On locally conformal symplectic manifolds of the first kind, LEFT-SYMMETRIC BIALGEBRAS AND AN ANALOGUE OF THE CLASSICAL YANG–BAXTER EQUATION, Unnamed Item, Representations and cohomologies of regular Hom-pre-Lie algebras, On a class of Lie groups with a left invariant flat pseudo-metric, Lattices in some symplectic or affine nilpotent Lie groups, Invariant structures on Lie groups, Bi-Lagrangian structure on the symplectic affine Lie algebra of \(\mathbb{R}^2\), Left invariant Poisson structures on classical non-compact simple Lie groups, Pre-symplectic algebroids and their applications, Left invariant contact structures on Lie groups, The c-map on groups, Some non-abelian phase spaces in low dimensions, Symplectic structures on the filiform Lie algebras, Almost Kähler 4-dimensional Lie groups with \(J\)-invariant Ricci tensor, Left-symmetric superalgebra structures on the N = 2 superconformal algebras, Special Hermitian metrics and Lie groups, On the tangent Lie group of a symplectic Lie group, Complex, symplectic, and contact structures on low-dimensional Lie groups, Bijective 1-Cocycles and Classification of 3-Dimensional Left-Symmetric Algebras, CLASSIFICATION OF GRADED LEFT-SYMMETRIC ALGEBRAIC STRUCTURES ON WITT AND VIRASORO ALGEBRAS, Left-symmetric algebroids, Rota-Baxter operators on pre-Lie superalgebras, Nijenhuis operators on pre-Lie algebras, A FURTHER STUDY ON NON-ABELIAN PHASE SPACES: LEFT-SYMMETRIC ALGEBRAIC APPROACH AND RELATED GEOMETRY, Closed \({\mathrm{G}}_2\)-structures on non-solvable Lie groups, Homogeneous Yang-Baxter deformations as undeformed yet twisted models, Left-symmetric conformal algebras and vertex algebras, Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer–Cartan equations, The affine group as symplectic manifold, Bihom-pre-Lie superalgebras and related structures, Yang–Baxter deformations and generalized supergravity—a short summary, Yang–Baxter deformations of the principal chiral model plus Wess–Zumino term, Generalized Lie bialgebras and Jacobi structures on Lie groups.
Cites Work
