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

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.
Biconservative immersions; Biharmonic maps; Hopf differential; Geometry and topology
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/176237
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