论文标题

空间形式中的双旋转和双辅助性超曲面

Biharmonic and biconservative hypersurfaces in space forms

论文作者

Fetcu, Dorel, Oniciuc, Cezar

论文摘要

我们介绍了Biharmonic和Biconservativativativativativativativativativativativativativativativativativate Submanifolds的一些一般特性,然后对空间形式中此类超曲面的最新结果进行了调查。我们还通过用更普遍的双保存条件替换CMC假设,为Hypersurfaces提出了众所周知的Nomizu和Smyth的替代版本。

We present some general properties of biharmonic and biconservative submanifolds and then survey recent results on such hypersurfaces in space forms. We also propose an alternative version for a well-known result of Nomizu and Smyth for hypersurfaces by replacing the CMC hypothesis with the more general condition of biconservativity.

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