Remarks on Local Lie algebras of pairs of functions

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.