On the uniqueness of complete biconservative surfaces in 3-dimensional space forms

2019/10/09 by Nistor, Simona, Oniciuc, Cezar
#53C42 #57N05 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53A10 #Secondary 53C40

paper · doi:10.48550/arxiv.1910.04131

Abstract

Biconservative surfaces are surfaces with divergence-free stress-bienergy tensor. Simply connected, complete, non-CMC biconservative surfaces in 3-dimensional space forms were constructed working in extrinsic and intrinsic ways. Then, one raises the question of the uniqueness of such surfaces. In this paper we give a positive answer to this question.

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