Xin Zhan

activity

20202026

most citedOn Chen's biharmonic conjecture for hypersurfaces in

R^{5}

3 citations · 3 across the 3 of their papers we have counts for

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2026

On $f$ -polyharmonic maps between Riemannian manifolds

Xin Zhan

This paper is devoted to a general study of $f$ -polyharmonic maps of order $k$ (or $f$ - $k$ -harmonic maps), defined as critical points of the weighted $k$ -energy functional \[ E_{f,…

math.DG2021

Biconservative hypersurfaces with constant scalar curvature in space forms

Yu Fu, Min-Chun Hong, Dan Yang +1

Biconservative hypersurfaces are hypersurfaces which have conservative stress-energy tensor with respect to the bienergy, containing all minimal and constant mean curvature hypersu…

math.DG2020★ 3 cited

On Chen's biharmonic conjecture for hypersurfaces in $R^{5}$

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…

On f-polyharmonic maps between Riemannian manifolds

Biconservative hypersurfaces with constant scalar curvature in space forms

On Chen's biharmonic conjecture for hypersurfaces in R5

On $f$ -polyharmonic maps between Riemannian manifolds

On Chen's biharmonic conjecture for hypersurfaces in $R^{5}$