Commuting Codazzi tensors and the Ribaucour transformation for submanifolds
Ruy Tojeiro | Dajczer, Marcos
Ribaucour transformation | Commuting Codazzi tensor
In this paper we develop a general theory for the Ribaucour transformation. In the process, a beautiful correspondence between Ribaucour transforms of a submanifold and Codazzi tensors that commute with its second fundamental form is revealed.