G-Deformations of maps into projective space

TL;DR

This paper characterizes G-deformability of maps into projective space using Lie algebra valued 1-forms, providing a unified framework for understanding deformability across various geometries.

Contribution

It introduces a Lie algebra based characterization of G-deformability, unifying known results in different geometric contexts.

Findings

Characterization of G-deformability via Lie algebra valued 1-forms

Unified approach to deformability in various geometries

Simplification of existing deformability criteria

Abstract

$G$-deformability of maps into projective space is characterised by the existence of certain Lie algebra valued 1-forms. This characterisation gives a unified way to obtain well known results regarding deformability in different geometries.