Dongbei University of Finance and Economics

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20002026

most citedBiharmonic hypersurfaces with three distinct principal curvatures in Euclidean space

39 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math.DG2021★ 2 cited

Sub-signature Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary

Tong Wu, Sining Wei, Yong Wang

In this paper, we obtain two Lichnerowicz type formulas for sub-signature operators. And we give the proof of Kastler-Kalau-Walze type theorems for sub-signature operators on 4-dim…

math.DG2016★ 5 cited

Biharmonic hypersurfaces with constant scalar curvature in space forms

Yu Fu, Min-Chun Hong

Let $M^{n}$ be a biharmonic hypersurface with constant scalar curvature in a space form $M^{n + 1} (c)$ . We show that $M^{n}$ has constant mean curvature if $c > 0$ and $M^{n}$ is min…

math.DG2014

Biharmonic hypersurfaces with three distinct principal curvatures in spheres

Yu Fu

We obtain a complete classification of proper biharmonic hypersurfaces with at most three distinct principal curvatures in sphere spaces with arbitrary dimension. Precisely, togeth…

math.DG2014★ 39 cited

Biharmonic hypersurfaces with three distinct principal curvatures in Euclidean space

Yu Fu

The well known Chen's conjecture on biharmonic submanifolds states that a biharmonic submanifold in a Euclidean space is a minimal one ([10-13, 16, 18-21, 8]). For the case of hype…