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Symplektische Geometrie

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Mathematische Physik: Klassische Mechanik

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Zusammenfassung

Wenn man den Spezialfall linearer hamiltonscher Differentialgleichungen verlässt, wird die im Kapitel 6 untersuchte symplektische Bilinearform zur symplektischen Form, und Lagrange-Unterräume werden zu Lagrange-Untermannigfaltigkeiten. Symplektische Mannigfaltigkeiten, also Mannigfaltigkeiten mit einer solchen Differentialform, besitzen eine besondere Geometrie. Ihre strukturerhaltenden Abbildungen heiβen kanonisch.

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Literaturverzeichnis

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Authors and Affiliations

  1. Department Mathematik, FAU Erlangen-Nürnberg, Cauerstr. 11, 91058, Erlangen, Deutschland

    Prof. Dr. Andreas Knauf

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  1. Prof. Dr. Andreas Knauf
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Correspondence to Andreas Knauf .

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© 2012 Springer-Verlag Berlin Heidelberg

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Knauf, A. (2012). Symplektische Geometrie. In: Mathematische Physik: Klassische Mechanik. Springer-Lehrbuch Masterclass. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20978-9_10

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