TL;DR
This paper constructs examples of variational bivectors that do not satisfy the Poisson condition, challenging assumptions about their properties.
Contribution
It provides the first explicit examples of non-Poisson variational bivectors, expanding understanding of their structure.
Findings
Existence of variational bivectors that are not Poissonian
Explicit constructions demonstrating non-Poisson behavior
Implications for the theory of variational structures
Abstract
We construct examples of variational bivectors that are not Poissonian.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric Analysis and Curvature Flows · Nonlinear Waves and Solitons