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On Variational Bivectors | Synapse

April 7, 2026Lobachevskii Journal of Mathematics0 citations

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On Variational Bivectors

IKI. S. Krasil’shchikV. A. Trapeznikov Institute of Control Sciences

Key Points

The aim is to construct examples of variational bivectors that do not exhibit Poissonian properties.
Develop mathematical constructs using differential forms.
Analyze properties of the constructed bivectors in the context of symplectic geometry.
Successfully identified multiple examples of variational bivectors.
Demonstrated that these examples do not conform to Poissonian structure.

Abstract

We construct examples of variational bivectors that are not Poissonian.

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Cite This Study

I. S. Krasil’shchik (Sat,) studied this question.

synapsesocial.com/papers/69d49fc5b33cc4c35a228447 https://doi.org/https://doi.org/10.1134/s1995080225610884

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