On the Dimension of the Group of Projective Transformations of Closed Randers and Riemannian Manifolds

TL;DR

This paper investigates the dimension of the group of projective transformations on closed Randers and Riemannian manifolds, providing a counterexample to a previously claimed theorem, thus refining the understanding of such transformation groups.

Contribution

It constructs a counterexample to a known theorem about the dimension of projective transformation groups on closed Randers and Riemannian manifolds.

Findings

Counterexample to Theorem 2 in previous work

Refinement of the understanding of transformation group dimensions

Implications for geometric structure classification

Abstract

We construct a counterexample to Theorem 2 of [Rafie-Rad M., Rezaei B., SIGMA 7 (2011), 085, 12 pages, arXiv:1108.6127].