Remarks on extremal Kähler metrics on ruled manifolds

DOI10.1017/S0027763000004001zbMath0772.53044OpenAlexW1524614003MaRDI QIDQ4029168

Akira Fujiki

Publication date: 7 March 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000004001

zbMATH Keywords

Kähler classesruled manifoldsgeneralized Kähler-Einstein metricsvanishing scalar curvature

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (16)

RC-positivity and scalar-flat metrics on ruled surfaces ⋮ Strongly Hermitian Einstein-Maxwell solutions on ruled surfaces ⋮ Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections ⋮ A Yau-Tian-Donaldson correspondence on a class of toric fibrations ⋮ Existence of higher extremal Kähler metrics on a minimal ruled surface ⋮ The energy of a Kähler class on admissible manifolds ⋮ Long time existence of minimizing movement solutions of Calabi flow ⋮ Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability ⋮ Spaces of Riemannian metrics ⋮ Extremal Kähler metrics on projective bundles over a curve ⋮ A momentum construction for circle-invariant Kähler metrics ⋮ About canonical Kähler metrics on Mumford semistable projective bundles over a curve ⋮ The moduli space of extremal compact Kähler manifolds and generalized Weil-Petersson metrics ⋮ Relative K-polystability of projective bundles over a curve ⋮ Extremal Sasakian geometry on and related manifolds ⋮ The classification of 4-dimensional Kähler manifolds with small eigenvalue of the Dirac operator

Cites Work

• The moduli space of extremal compact Kähler manifolds and generalized Weil-Petersson metrics
• On compact Kähler manifolds of constant scalar curvatures
• Coarse moduli space for polarized compact Kähler manifolds
• A remark on extremal Kähler metrics
• Stability of vector bundles and extremal metrics
• Zur Klassifikation von Regelmannigfaltigkeiten
• On the curvature of compact Hermitian manifolds
• On automorphism groups of compact Kähler manifolds
• Stable principal bundles on a compact Riemann surface
• Stable and unitary vector bundles on a compact Riemann surface
• On automorphism groups of ruled surfaces
• Variétés kählériennes à première classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative. (Kählerian manifolds of non-negative first Chern class and Riemannian manifolds with non-negative generalized Ricci curvature)

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