Pre-Poisson submanifolds
Alberto S. Cattaneo, Marco Zambon
TL;DR
This paper provides an introductory overview of pre-Poisson submanifolds, including new insights on linear Poisson structures, building on previous work on coisotropic embeddings in Poisson manifolds.
Contribution
It offers an expository account with original material on linear Poisson structures, expanding understanding of submanifold properties in Poisson geometry.
Findings
Introduction to pre-Poisson submanifolds
New results on linear Poisson structures
Connections to coisotropic embeddings
Abstract
This is an expository and introductory note on some results obtained in "Coisotropic embeddings in Poisson manifolds" (ArXiv math/0611480). Some original material is contained in the last two sections, where we consider linear Poisson structures.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Holomorphic and Operator Theory · Geometric and Algebraic Topology