Contact Dual Pairs
Differential Geometry
2025-08-04 v2 Symplectic Geometry
Abstract
We introduce and study the notion of contact dual pair adopting a line bundle approach to contact and Jacobi geometry. A contact dual pair is a pair of Jacobi morphisms defined on the same contact manifold and satisfying a certain orthogonality condition. Contact groupoids and contact reduction are the main sources of examples. Among other properties, we prove the Characteristic Leaf Correspondence Theorem for contact dual pairs which parallels the analogous result of Weinstein for symplectic dual pairs.
Cite
@article{arxiv.1903.05250,
title = {Contact Dual Pairs},
author = {Adara Monica Blaga and Maria Amelia Salazar and Alfonso Giuseppe Tortorella and Cornelia Vizman},
journal= {arXiv preprint arXiv:1903.05250},
year = {2025}
}
Comments
v2: 36 pages, minor revisions, final version to appear in IMRN, comments still welcome!