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Helga Baum
Eichfeldtheorie
Eine Einführung in die Differentialgeometrie auf Faserbündeln

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Dieses Lehrbuch führt in die Differentialgeometrie auf Faserbündeln ein. Es vermittelt die mathematischen Grundlagen zur Eichfeldtheorie in der theoretischen und mathematischen Physik. Neben Lie-Gruppen und homogenen Räumen behandelt das Buch lokal-triviale Faserungen, grundlegende Begriffe der Differentialrechnung auf Faserbündeln sowie Holonomiegruppen. Es ist ideal als Begleiter für einsemestrige Differentialgeometrie-Vorlesungen im Mathematik- oder Physik-Hauptstudium. Viele Beispiele, Aufgaben und Lösungen helfen, den Stoff zu vertiefen.

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Inhaltsverzeichnis

Lie-Gruppen und homogene R#x00E4;ume.- Hauptfaserb#x00FC;ndel und assoziierte Faserb#x00FC;ndel.- Zusammenh#x00E4;nge in Hauptfaserb#x00FC;ndeln.- Holonomietheorie.- Holonomiegruppen Riemannscher Mannigfaltigkeiten.- Charakteristische Klassen in der de Rham-Kohomologie.- Die Yang-Mills-Gleichung und selbstduale Zusammenh#x00E4;nge.

Sprache Deutsch ● Format PDF ● Seiten 358 ● ISBN 9783540382935 ● Verlag Springer Berlin ● Ort Heidelberg ● Land DE ● Erscheinungsjahr 2009 ● herunterladbar 24 Monate ● Währung EUR ● ID 2162393 ● Kopierschutz Adobe DRM

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