Darboux-Weinstein theorem for locally conformally symplectic manifolds

Alexandra Otiman; Miron Stanciu

Darboux-Weinstein theorem for locally conformally symplectic manifolds

Differential Geometry 2015-11-03 v1 Symplectic Geometry

Authors: Alexandra Otiman , Miron Stanciu

Abstract

A locally conformally symplectic (LCS) form is an almost symplectic form $\omega$ such that a closed one-form $\theta$ exists with $d\omega = \theta \wedge \omega$ . We present a version of the well-known result of Darboux and Weinstein in the LCS setting and give an application concerning Lagrangian submanifolds.

Keywords

locally conformally symplectic manifold Darboux-Weinstein theorem almost symplectic form Lagrangian submanifold closed one-form LCS form

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@article{arxiv.1511.00227,
  title  = {Darboux-Weinstein theorem for locally conformally symplectic manifolds},
  author = {Alexandra Otiman and Miron Stanciu},
  journal= {arXiv preprint arXiv:1511.00227},
  year   = {2015}
}

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Darboux-Weinstein theorem for locally conformally symplectic manifolds

Abstract

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