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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics
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Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics
Y.-T. Siu (Broschiert, Englisch)
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Beschreibung
These notes are based on the lectures I delivered at the German Mathematical Society Seminar in Schloss Michkeln in DUsseldorf in June. 1986 on Hermitian-Einstein metrics for stable bundles and Kahler-Einstein metrics. The purpose of these notes is to present to the reader the state-of-the-art results in the simplest and the most comprehensible form using (at least from my own subjective… viewpoint) the most natural approach. The presentation in these notes is reasonably self-contained and prerequisi tes are kept to a minimum. Most steps in the estimates are reduced as much as possible to the most basic procedures such as integration by parts and the maximum principle. When less basic procedures are used such as the Sobolev and Calderon-Zygmund inequalities and the interior Schauder estimates. references are given for the reader to look them up. A considerable amount of heuristic and intuitive discussions are included to explain why certain steps are used or certain notions introduced. The inclusion of such discussions makes the style of the presentation at some places more conversational than what is usually expected of rigorous mathemtical prese"ntations. For the problems of Hermi tian-Einstein metrics for stable bundles and Kahler-Einstein metrics one can use either the continuity method or the heat equation method. These two methods are so very intimately related that in many cases the relationship betwen them borders on equivalence. What counts most is the a. priori estimates. The kind of scaffolding one hangs the a. 90,94 €
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Technische Daten
Erscheinungsdatum
01.01.1987
Sprache
Englisch
EAN
9783764319311
Herausgeber
Springer Basel
Serien- oder Bandtitel
Oberwolfach Seminars
Sonderedition
Nein
Autor
Y.-T. Siu
Seitenanzahl
172
Einbandart
Broschiert
Buch Untertitel
Delivered at the German Mathematical Society Seminar in Düsseldorf in June, 1986
Schlagwörter
Derivation, Finite, Invariant, Manifold, Morphism, equation, function, proof
Thema-Inhalt
PBM - Geometrie
Höhe
2440 mm
Breite
170 cm
Transparenz & Sicherheit
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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