Remarks on Local Lie algebras of pairs of functions
Josef Jany\v{s}ka

TL;DR
This paper investigates local Lie algebras formed by pairs of functions that generate infinitesimal symmetries of specific geometric structures called almost-cosymplectic-contact structures on odd-dimensional manifolds.
Contribution
It provides a detailed analysis of the structure and properties of local Lie algebras associated with these geometric symmetries, offering new insights into their algebraic and geometric features.
Findings
Characterization of local Lie algebras for almost-cosymplectic-contact structures
Identification of conditions for infinitesimal symmetries
Extension of symmetry analysis to odd-dimensional manifolds
Abstract
We study local Lie algebras of pairs of functions which generate infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds.
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