Commuting Codazzi tensors and the Ribaucour transformation for submanifolds

Ruy Tojeiro | Dajczer, Marcos

Keywords: 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.

Anexos:

• rib2.dvi