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Differential equations of the first order but not of the first degree, Clairaut’s equations and singular solutions, Orthogonal trajectories, Simultaneous linear
differential Statt einer symmetrischen nichtentarteten Bilinearform wird eine antisymmetrische nichtentartete Bilinearform ω gegeben. Wenn diese zusätzlich noch geschlossen ist, also dω=0, spricht man von einer symplektischen Mannigfaltigkeit.Weil ein symplektischer Vektorraum notwendigerweise gerade Dimension hat, haben auch symplektische Mannigfaltigkeiten gerade Dimension.
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