Abstract
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).
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© 1985 Birkhäuser Boston, Inc.
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Arnold, V.I., Gusein-Zade, S.M., Varchenko, A.N. (1985). Generating families. In: Singularities of Differentiable Maps. Monographs in Mathematics, vol 82. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5154-5_19
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DOI: https://doi.org/10.1007/978-1-4612-5154-5_19
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-9589-1
Online ISBN: 978-1-4612-5154-5
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