2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113980In [3], the authors showed the existence and the uniqueness of a sl(m+1,\R)-equivariant quantization in the non-critical situations. The curved generalization of the sl(m+1,\R)-equivariant quantization is the natural and projectively equivariant quantization. In [1] and [7], the existence of such a quantization was proved in two different ways. In this paper, we show that this quantization is not unique.7 pagesDifferential Geometry53B05 ; 53B10 ; 53D50 ; 53C10text