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math.DG2025
The biharmonic hypersurface flow and the Willmore flow in higher dimensions
Yu Fu, Min-Chun Hong, Gang Tian
The biharmonic flow of hypersurfaces immersed in the Euclidean space for is given by a fourth order geometric evolution equation, which is simil…
math.DG2020★ 3 cited
On Chen's biharmonic conjecture for hypersurfaces in
Yu Fu, Min-Chun Hong, Xin Zhan
A longstanding conjecture on biharmonic submanifolds, proposed by Chen in 1991, is that {\it any biharmonic submanifold in a Euclidean space is minimal}. In the case of a hypersurf…