Symplectic Homogeneous Spaces
From MaRDI portal
Publication:5676794
DOI10.2307/1996932zbMath0261.53039OpenAlexW4245604186MaRDI QIDQ5676794
Publication date: 1974
Full work available at URL: https://doi.org/10.2307/1996932
Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Homology and cohomology of homogeneous spaces of Lie groups (57T15)
Related Items
Flat affine or projective geometries on Lie groups, Symplectic or contact structures on Lie groups, A class of non-graded left-symmetric algebraic structures on the Witt algebra, Recent Results on Closed G 2-Structures, Left-symmetric bialgebroids and their corresponding Manin triples, Lie 2-bialgebras, Marginal deformations of WZW models and the classical Yang–Baxter equation, Symplectic, product and complex structures on 3-Lie algebras, Cosymplectic and \(\alpha\)-cosymplectic Lie algebras, Flat affine symplectic Lie groups, Symplectic Novikov Lie algebras, Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras, \(N=2\) structures on solvable Lie algebras: The \(c=9\) classification, Four-dimensional homogeneous Kähler Ricci solitons, Special symplectic Lie groups and hypersymplectic Lie groups, Symmetry analysis, integrability and completeness of geodesics of a double of the affine Lie group of the real line, Subtwistor structures and subtwistor bundle, Remarks on some compact symplectic solvmanifolds, On left symmetric color algebras, Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras, Real semisimple Lie groups and balanced metrics, A classification of left-invariant symplectic structures on some Lie groups, From almost (para)-complex structures to affine structures on Lie groups, Invariant affinor metric structures on Lie groups, Structure of symplectic Lie groups and momentum map, Eight-dimensional symplectic non-solvable Lie algebras, Static SKT metrics on Lie groups, Riemannian geometry on contact Lie groups, A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups, Almost Kähler structures on four dimensional unimodular Lie algebras, Geometry of four-dimensional Kähler and para-Kähler Lie groups, Symplectic structures, product structures and complex structures on Leibniz algebras, Quasi-triangular pre-Lie bialgebras, factorizable pre-Lie bialgebras and Rota-Baxter pre-Lie algebras, The coarse orbit types of non-Kählerian, symplectic homogeneous spaces whose transformation groups are non-compact simple and isotropy subgroups are compact, Unnamed Item, Unnamed Item, 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, On the local structure of noncommutative deformations, Bi-Lagrangian structure on the symplectic affine Lie algebra of \(\mathbb{R}^2\), Left invariant Poisson structures on classical non-compact simple Lie groups, A complete classification of four-dimensional para-Kähler Lie algebras, Symmetric and skew-symmetric complex structures, Invariant Koszul Form of Homogeneous Bounded Domains and Information Geometry Structures, Pre-symplectic algebroids and their applications, Some non-abelian phase spaces in low dimensions, Unnamed Item, J-dendriform algebras, Symplectic structures on the filiform Lie algebras, Left-symmetric superalgebra structures on the N = 2 superconformal algebras, Remarks on symplectic sectional curvature, Complex, symplectic, and contact structures on low-dimensional Lie groups, Quantization and Projective Representations of Solvable Lie Groups, Construction of projective special Kähler manifolds, Structures géométriques invariantes et feuilletages de Lie. (Invariant geometric structures and Lie foliations), On compact homogeneous symplectic manifolds, Categorification of Pre-Lie Algebras and Solutions of 2-graded Classical Yang-Baxter Equations, Symplectic Homogeneous Spaces, Variétés symplectiques affines. (Affine symplectic manifolds), Rota-Baxter operators on pre-Lie superalgebras, Quadratic Leibniz conformal algebras, Nijenhuis operators on pre-Lie algebras, Principal derivations and codimension one ideals in contact and Frobenius Lie algebras, The Lie groupoid analogue of a symplectic Lie group, Closed \({\mathrm{G}}_2\)-structures on non-solvable Lie groups, Deformation theory of contact Lie algebras as double extensions, Left-symmetric conformal algebras and vertex algebras, Deformations of filiform Lie algebras and symplectic structures, Left-invariant symplectic structures on diagonal almost abelian Lie groups, On para-Kähler and hyper-para-Kähler Lie algebras, SKT and tamed symplectic structures on solvmanifolds, Bihom-pre-Lie superalgebras and related structures, Yang–Baxter deformations of the principal chiral model plus Wess–Zumino term, Generalized Lie bialgebras and Jacobi structures on Lie groups.
Cites Work
- On Automorphisms of A Kählerian Structure
- On Kaehlerian Homogeneous Spaces of Unimodular Lie Groups
- A global formulation of the Lie theory of transformation groups
- Quantization and unitary representations
- Cohomology Theory of Lie Groups and Lie Algebras
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
