Almost Hermitian homogeneous structures
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Publication:3777007
DOI10.1017/S0013091500006775zbMath0637.53065OpenAlexW2122489252MaRDI QIDQ3777007
Publication date: 1988
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0013091500006775
decompositionhomogeneous Riemannian manifoldsalmost Hermitian manifoldstensor fields of type (1,2)almost Kähler naturally reductive homogeneous manifoldnaturally reductive almost Hermitian manifolds
Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)
Related Items (10)
A modified Brauer algebra as centralizer algebra of the unitary group ⋮ Reductive homogeneous pseudo-Riemannian manifolds ⋮ The homogeneous holonomies of complex hyperbolic space ⋮ Homogeneous pseudo-Riemannian structures of linear type ⋮ Homogeneous Riemannian structures on some solvable extensions of the Heisenberg group ⋮ On the classification theorems of almost-Hermitian or homogeneous Kähler structures ⋮ Reduction of Homogeneous Riemannian Structures ⋮ Homogeneous structures on real and complex hyperbolic spaces ⋮ Degenerate homogeneous structures of type \({\mathcal S}_1\) on pseudo-Riemannian manifolds ⋮ On the complete decomposition of curvature tensors of Riemannian manifolds with symmetric connection
Cites Work
- On compact homogeneous symplectic manifolds
- Some remarks on tensor invariants of \(O(n), U(n), Sp(n)\)
- The sixteen classes of almost Hermitian manifolds and their linear invariants
- Notes on homogeneous almost Hermitian manifolds
- On homogeneous Riemannian manifolds
- Examples of Compact Non-Kahler almost Kahler Manifolds
- Curvature Tensors on Almost Hermitian Manifolds
- Shorter Notes: Some Simple Examples of Symplectic Manifolds
- Symplectic manifolds with no Kähler structure
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