Separazione di Variabili e Metriche Proiettivamente Equivalenti

The separation of variables and projective differential geometry are two topics somehow related from the beginning of their studies, but only at the start of this century, some authors pointed out the relation between them. This relation represents the basis of the present work; in fact, both of these topics have as a main tool the study of special symmetric tensors. Our plan is to investigate the relation between the tensors related to the separation of variables and the tensor related to equivalent metrics.