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单词 Symplectic Form
释义

Symplectic Form

A symplectic form on a Smooth Manifold is a smooth closed 2-Form on which isnondegenerate such that at every point , the alternating bilinear form on the Tangent Space isnondegenerate.


A symplectic form on a Vector Space over is a function (defined for all and taking values in ) which satisfies




and


Symplectic forms can exist on (or ) only if (or ) is Even-dimensional.
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更新时间:2025/2/22 2:25:11