Isometries of optimal pseudo-Riemannian metrics

TL;DR

This paper proves that many optimal pseudo-Riemannian metrics, such as those with constant curvature or Einstein properties, are maximally symmetric within their conformal class, using a concise proof.

Contribution

It provides a concise proof demonstrating maximal symmetry of large classes of optimal pseudo-Riemannian metrics within their conformal class.

Findings

Optimal pseudo-Riemannian metrics are maximally symmetric within their conformal class.

Large classes of constant curvature or Einstein metrics share this maximal symmetry.

The proof simplifies understanding of symmetry properties in pseudo-Riemannian geometry.

Abstract

We give a concise proof that large classes of optimal (constant curvature or Einstein) pseudo-Riemannian metrics are maximally symmetric within their conformal class.