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arXiv · 2501.00694

Cosymplectic Lagrangian-like submanifolds

S. Tchuiaga·F. Balibuno·E. Djoukeng
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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 $1-$form is derived, and its de Rham class is a co-flux.

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BibTeXRIS

S. Tchuiaga, F. Balibuno, E. Djoukeng. 2025-01-01. Cosymplectic Lagrangian-like submanifolds. https://arxiv.org/abs/2501.00694

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