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<p>We consider biconservative surfaces in <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\text {Sol}_3\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>Sol</mtext> <mn>3</mn> </msub> </math></EquationSource> </InlineEquation>, find their local equations, and then show that all biharmonic surfaces in this space are minimal.</p>

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The rigidity of biconservative surfaces in \(\text {Sol}_3\)

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月21日

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  • Dorel Fetcu

摘要

We consider biconservative surfaces in \(\text {Sol}_3\) Sol 3 , find their local equations, and then show that all biharmonic surfaces in this space are minimal.