An algebraic characterization of affine manifolds with g-stucture satisfying a homogeneity condition

TL;DR

This paper provides an algebraic framework to characterize the characteristic tensors of infinitesimally homogeneous affine manifolds with G-structure, advancing understanding of their geometric properties.

Contribution

It introduces a novel algebraic approach to classify characteristic tensors of affine manifolds with G-structure under homogeneity conditions.

Findings

Characterization of characteristic tensors for infinitesimally homogeneous affine manifolds

Algebraic conditions for G-structure compatibility

Framework for classifying affine manifolds with homogeneity

Abstract

We give an algebraic characterization of the possible characteristic tensors of an infinitesimally homogeneous affine manifold with G-structure.