Kähler-Einstein Metrics and Integral Invariants

These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifo...

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Hlavní autor: Futaki, Akito, 1954-
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in mathematics 1314
Témata:
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Edition sous un autre format:• Kähler-Einstein metrics and integral invariants, Akito Futaki, 1988, Berlin, Springer-Verlag, 1 volume (IV-139 pages), Lecture notes in mathematics, 0-387-19250-6
• Kähler-Einstein Metrics and Integral Invariants, Texte imprimé, 9783662207192
Obsah:
  • Preliminaries
  • Kähler-Einstein metrics and extremal Kähler metrics
  • The character f and its generalization to Kählerian invariants
  • The character f as an obstruction
  • The character f as a classical invariant
  • Lifting f to a group character
  • The character f as a moment map
  • Aubin's approach and related results.