The coisotropic embedding theorem for pre-symplectic manifolds: an alternative proof
Differential Geometry
2025-09-08 v3 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
We present an alternative proof of the Coisotropic Embedding Theorem in which the geometric choice of a connection is recast as the algebraic choice of an embedding into the cotangent bundle. The symplectic thickening is then identified as the submanifold determined by the Hamiltonian momenta conjugate to the kernel directions of the pre-symplectic form.
Keywords
Cite
@article{arxiv.2411.18208,
title = {The coisotropic embedding theorem for pre-symplectic manifolds: an alternative proof},
author = {Luca Schiavone},
journal= {arXiv preprint arXiv:2411.18208},
year = {2025}
}