A germ of an n-dimensional Lagrangian manifold can be given by a generating function in n variables. In this sense the manifold of Lagrangian germs in ℝ2n has an atlas, each of whose 2n charts is the space of germs of functions of n variables (modulo additive constants).
KeywordsGenerate Family Wave Front Cotangent Bundle Observation Surface Lagrangian Submanifold
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