Generating families

V. I. Arnold, Sabir Medzhidovich Gusein-Zade, Alexander N. Varchenko · Birkhäuser Boston eBooks · 2012

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 ℝ 2n has an atlas, each of whose 2 n charts is the space of germs of functions of n variables (modulo additive constants). These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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