The structure constants of geometric structures on a local Lie group

TL;DR

This paper introduces the concept of structure constants for various geometric structures such as almost complex, almost symplectic, and Riemannian on local Lie groups, providing a unified algebraic framework.

Contribution

It defines and explores the structure constants for multiple geometric structures on local Lie groups, offering a new algebraic perspective.

Findings

Defined structure constants for almost complex structures

Extended the concept to almost symplectic and Riemannian structures

Provided a unified algebraic framework for these geometric structures

Abstract

We define the structure constants of almost complex, almost symplectic and Riemannian structures on a local Lie group