Invariant polynomials on compact complex manifolds

DOI10.3792/pjaa.60.369zbMath0587.32042OpenAlexW1990852117MaRDI QIDQ1072689

Shigeyuki Morita, Akito Futaki

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.369

zbMATH Keywords

Kähler-Einstein metriccompact complex manifoldLie algebra of holomorphic vector fieldsG-invariant symmetric polynomials

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Complex Lie groups, group actions on complex spaces (32M05) Compact complex surfaces (32J15) Complex manifolds (32Q99)

Related Items (9)

Central Kähler metrics ⋮ Residue formula for Morita-Futaki-Bott invariant on orbifolds ⋮ On localizing Futaki-Morita integrals at isolated degenerate zeros ⋮ Eigenvalues of vector fields, Bott's residue formula and integral invariants ⋮ ASYMPTOTIC CHOW SEMI-STABILITY AND INTEGRAL INVARIANTS ⋮ On the vanishing of the holomorphic invariants for Kähler-Ricci solitons ⋮ REMARKS ON INVARIANTS OF HAMILTONIAN LOOPS ⋮ An equivariant version of the \(K\)-energy ⋮ On some integral invariants on complex manifolds. I

Cites Work

• Unnamed Item
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• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• The moment map and equivariant cohomology
• On the variation in the cohomology of the symplectic form of the reduced phase space
• An obstruction to the existence of Einstein Kaehler metrics
• Characteristic forms and geometric invariants
• Vector fields and characteristic numbers
• A Lefschetz fixed point formula for elliptic complexes. I
• The index of elliptic operators. IV, V
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Characteristic classes of surface bundles

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