Biharmonic submanifolds into ellipsoids

Abstract

In this paper we construct proper biharmonic submanifolds into various types of ellipsoids. We also prove, in this context, some useful composition properties which can be used to produce large families of new proper biharmonic immersions.

11 pages

References in corpus (1)

• Biharmonic curves into quadrics

Cited by in corpus (1)

• Some open problems and conjectures on submanifolds of finite type: recent development