Lagrangian submanifolds of standard multisymplectic manifolds

Gabriel Sevestre; Tilmann Wurzbacher

doi:10.1007/978-3-030-26562-5_8

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arXiv · 1809.11005

Lagrangian submanifolds of standard multisymplectic manifolds

Gabriel Sevestre·Tilmann Wurzbacher

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Abstract

We give a detailed, self-contained proof of Geoffrey Martin's normal form theorem for Lagrangian submanifolds of standard multisymplectic manifolds (that generalises Alan Weinstein's famous normal form theorem in symplectic geometry), providing also complete proofs for the necessary results in foliated differential topology, i.e., a foliated tubular neighborhood theorem and a foliated relative Poincar\'e lemma.

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Gabriel Sevestre, Tilmann Wurzbacher. 2018-09-28. Lagrangian submanifolds of standard multisymplectic manifolds. https://doi.org/10.1007/978-3-030-26562-5_8

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