Biconservative surfaces

2014/06/26 by Montaldo, S., Oniciuc, C., Ratto, A. · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1406.6774

Abstract

In this work we obtain some geometric properties of biconservative surfaces into 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 4-dimensional space form.

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• Biconservative Weingarten surfaces with flat normal bundle in N⁴ (ε)

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