Pfaffian Structure with an Integrality Condition
F.A.M.Frescura, and G. Lubczonok
TL;DR
This paper explores conditions under which Pfaffian manifolds can be associated with Weyl line-bundles, analyzing their foliated structures and canonical flows to deepen understanding of their geometric properties.
Contribution
It identifies specific conditions enabling the construction of Weyl line-bundles on Pfaffian manifolds and investigates their geometric and foliated structures.
Findings
Conditions for Weyl line-bundle construction are established
Properties of foliated structures are characterized
Canonical flows on these manifolds are analyzed
Abstract
Some Pfaffian manifolds admit the construction of an associated Weyl line-bundle in which the lift of the Pfaffian structure defines a 2-form which is basic. We identify the conditions under which this construction is possible, implement it, and investigate some properties of the foliated structure of these special manifolds and of their canonical flows.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Supramolecular Self-Assembly in Materials · Elasticity and Wave Propagation