On discrete projective transformation groups of Riemannian manifolds

TL;DR

This paper investigates the properties of groups acting on pseudo-Riemannian manifolds that preserve unparameterized geodesics, revealing rigidity phenomena that constrain such group actions.

Contribution

It establishes new rigidity results for groups acting on pseudo-Riemannian manifolds by preserving unparameterized geodesics, advancing understanding of geometric transformation groups.

Findings

Rigidity theorems for geodesic-preserving group actions

Constraints on group structures acting on pseudo-Riemannian manifolds

Enhanced understanding of projective transformation groups

Abstract

We prove rigidity facts for groups acting on pseudo-Riemannian manifolds by preserving unparameterized geodesics.