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.
Biconservative surfaces
MONTALDO, STEFANO;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.
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