Kähler-Einstein Metrics and Integral Invariants

(Autor)

Buch | Softcover
IV, 140 Seiten
1988 | 1988
Springer Berlin (Verlag)
978-3-540-19250-3 (ISBN)

Lese- und Medienproben

Kähler-Einstein Metrics and Integral Invariants - Akito Futaki
29,95 inkl. MwSt
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 manifold and becomes an obstruction to the existence of a Kähler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kähler-Einstein metric and lifting to a group character. Other related topics such as extremal Kähler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Kählerian geometry and Chern-Simons theory are presented in full detail, these notes are accessible to graduate students as well as to specialists of the subject.

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.

Erscheint lt. Verlag 11.5.1988
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo IV, 140 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 234 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte Algebra • Boundary element method • Curvature • EXIST • Geometry • Grad • Group • Invariant • Lie • Lie algebra • manifold • metrics • Microsoft Access • Simon • Vector field
ISBN-10 3-540-19250-6 / 3540192506
ISBN-13 978-3-540-19250-3 / 9783540192503
Zustand Neuware
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