Cosymplectic Lagrangian-like submanifolds
Differential Geometry
2025-01-16 v2
Abstract
This paper highlights the similarities between even-dimensional geometry (symplectic) and odd-dimensional geometry (cosymplectic). We study the Lagrangian Grassmannian in the cosymplectic setting. The space of compatible co-complex structures is introduced and analyzed. A study of Moser's trick and Lagrangian neighborhood theorems in the cosymplectic context follows. The corresponding Weinstein form is derived, and its de Rham class is a co-flux.
Cite
@article{arxiv.2501.00694,
title = {Cosymplectic Lagrangian-like submanifolds},
author = {S. Tchuiaga and F. Balibuno and E. Djoukeng},
journal= {arXiv preprint arXiv:2501.00694},
year = {2025}
}