An Introduction to Differential Geometry

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A symplectic manifold is an almost symplectic manifold for which the symplectic form ω is closed: dω = 0. Plenty of examples to illustrate important points. It is clearly tangential to the curve at P. There exists, or one could make, a ruler, divided into units, in relation to which these two lengths may, in turn, be divided into parts. The term "manifold" is really the concept of "surface" but extended so that the dimension could be arbitrarily high.

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Publisher: MLBD (2010)


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