The fundamental conjecture for homogeneous Kähler manifolds

DOI10.1007/BF02392294zbMath0662.32025WikidataQ123115331 ScholiaQ123115331MaRDI QIDQ1113339

Kazufumi Nakajima, Josef F. Dorfmeister

Publication date: 1988

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

homogeneous Kähler manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Homogeneous complex manifolds (32M10)

Related Items (33)

A classification of coherent state representations of unimodular Lie groups ⋮ A SPLITTING THEOREM FOR KÄHLER MANIFOLDS WHOSE RICCI TENSORS HAVE CONSTANT EIGENVALUES ⋮ Coherent state representations. A survey ⋮ Locally homogeneous aspherical Sasaki manifolds ⋮ Aspherical Kähler manifolds with solvable fundamental group ⋮ Classification of compact complex homogeneous manifolds with pseudo-Kählerian structures ⋮ Non-compact Einstein manifolds with symmetry ⋮ Some remarks on homogeneous Kähler manifolds ⋮ Riemannian geometry on contact Lie groups ⋮ Classification of compact complex homogeneous spaces with invariant volumes ⋮ Toward a classification of compact complex homogeneous spaces. ⋮ Pseudo-Kählerian homogeneous spaces admitting a reductive transitive group of automorphisms ⋮ A CONVENIENT COORDINATIZATION OF SIEGEL–JACOBI DOMAINS ⋮ On the Levi-flats in complex tori of dimension two ⋮ CONSEQUENCES OF THE FUNDAMENTAL CONJECTURE FOR THE MOTION ON THE SIEGEL–JACOBI DISK ⋮ Left invariant contact structures on Lie groups ⋮ Kaehlerian reductions in solvable Lie groups and applications ⋮ Coherent states and geometry on the Siegel–Jacobi disk ⋮ On compact symplectic manifolds with Lie group symmetries ⋮ An obstruction to homogeneous manifolds being Kähler. ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ Modification and the cohomology groups of compact solvmanifolds ⋮ Complex Orbits of Solvable Groups ⋮ The real Jacobi group revisited ⋮ Construction of projective special Kähler manifolds ⋮ A partial generalization of the Helgason Conjecture to general bounded homogeneous domains ⋮ On Kähler nilmanifolds with top homology in codimension two ⋮ The Paley-Wiener theorem for the Hua system ⋮ Linear dynamical systems, coherent state manifolds, flows, and matrix Riccati equation ⋮ Hyperbolicity outside a compact set and homogeneous spaces ⋮ HOMOGENEOUS SASAKI AND VAISMAN MANIFOLDS OF UNIMODULAR LIE GROUPS ⋮ Unnamed Item ⋮ Classification of compact complex homogeneous spaces with invariant volumes

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• Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms
• Algebraic Description of Homogeneous Cones
• Proof of the radical conjecture for homogeneous Kähler manifolds
• KÄHLERIAN MANIFOLDS ADMITTING A TRANSITIVE SOLVABLE AUTOMORPHISM GROUP
• Closed Manifolds with Homogeneous Complex Structure
• Kählerian Coset Spaces of Semisimple Lie Groups

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