Biconservative surfaces

MONTALDO, STEFANO;Oniciuc, C.;RATTO, ANDREA

2016-01-01

---

Abstract

In this work we obtain some geometric properties of biconservative surfaces in a Riemannian manifold. In particular, we shall study the relationship between biconservative surfaces and the holomorphicity of a generalized Hopf function. Also, we give a complete classification of CMC biconservative surfaces in a four-dimensional space form.