Lower envelopes of admissible functions on complex projective space. Symmetric case

DOI10.1016/j.bulsci.2006.01.007zbMath1103.53042OpenAlexW2154039579MaRDI QIDQ855496

Adnène Ben Abdesselem

Publication date: 7 December 2006

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2006.01.007

zbMATH Keywords

Kähler potentialprojective manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (5)

Lower envelope of admissible functions on the Grassmannian \(G_{2,4}\mathbb C\) in presence of symmetries ⋮ Tian's invariant of the Grassmann manifold ⋮ Lower bounds of Tian's invariant under toric invariances ⋮ Lower envelopes of admissible functions on complex projective space. Asymmetric case ⋮ Tian invariant on generalized Calabi manifold

Cites Work

• Métriques d'Einstein-Kähler et exponentiel des fonctions admissibles. (Einstein-Kähler metrics and the exponential of admissable functions.)
• Réduction du cas positif de l'équation de Monge-Ampère sur les variétés Kählériennes compactes à la démonstration d'une inégalité
• Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group
• On Ricci curvature of certain complex bundles
• Einstein-Kähler metrics on a class of bundles involving integral weights.
• Einstein-Kähler metrics on certain complex bundles
• Lower bound of admissible functions on sphere
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