Essential Killing fields of parabolic geometries: projective and conformal structures

TL;DR

This paper revisits known results on special infinitesimal automorphisms in projective and conformal geometries using a general theory of parabolic geometries, providing a unified approach.

Contribution

It applies a general theory of parabolic geometries to reprove classical results on automorphisms in specific geometric structures.

Findings

Reproves known results on infinitesimal automorphisms

Unifies approaches to projective and conformal geometries

Enhances understanding of symmetry structures in these geometries

Abstract

We use the general theory developed in our article arXiv:1208.5510 in the setting of parabolic geometries to reprove known results on special infinitesimal automorphisms of projective and conformal geometries.