Genuine Isometric and Conformal Deformations of Submanifolds

Abstract

We survey on classical results and some recent developments on the study of isometric and conformal deformations of Euclidean submanifolds, with emphasis on the theory of genuine deformations, introduced by M. Dajczer and L. Florit for the isometric case, and recently extended to the conformal realm by L. Florit and the author.