Lagrangian submanifolds of standard multisymplectic manifolds
Differential Geometry
2020-08-13 v1 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1809.11005,
title = {Lagrangian submanifolds of standard multisymplectic manifolds},
author = {Gabriel Sevestre and Tilmann Wurzbacher},
journal= {arXiv preprint arXiv:1809.11005},
year = {2020}
}
Comments
To appear in: Geometric and Harmonic Analysis on Homogeneous spaces and Applications: TJC2017; Springer Proceedings in Mathematics and Statistics