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ISSN : 1226-0657

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Vol.3 No.1
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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1996, v.3 no.1, pp.19-32
Nam, Jeong-Koo
Nam,, J. (1996). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 3(1), 19-32.
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Abstract

A symplectic manifold is a pair (M, <TEX>$\omega$</TEX>) consisting of a smooth manifold M and a non-degenerate closed 2-form <TEX>$\omega$</TEX> on M. Locally, <TEX>$\omega$</TEX> = (equation omitted) and d<TEX>$\omega$</TEX> = 0, when n = dimM. The condition d<TEX>$\omega$</TEX> = 0 implies that locally <TEX>$\omega$</TEX> = d<TEX>${\alpha}$</TEX> with <TEX>${\alpha}$</TEX> = (equation omitted). There are three main sources of symplectic manifolds.(omitted)

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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