Counterexamples to the pseudo-Riemannian Lichnerowicz conjecture

TL;DR

This paper addresses the pseudo-Riemannian Lichnerowicz conjecture, initially claiming to disprove it but later correcting a sign error that affected the original argument.

Contribution

It clarifies the validity of the conjecture by identifying and correcting a key sign error in the original proof.

Findings

The original disproof was invalid due to a sign error.

Corrected analysis does not disprove the conjecture.

Highlights importance of sign accuracy in mathematical proofs.

Abstract

The original version of the paper claimed to disprove the pseudo-Riemannian Lichnerowicz conjecture of D'Ambra and Gromov. However, the argument contains a crucial sign error in the lines following equation (8).