3 papers
math.DG2021
Triharmonic CMC hypersurfaces in space forms with at most 3 distinct principal curvatures
Hang Chen, Zhida Guan
A -harmonic map is a critical point of the -energy in the space of smooth maps between two Riemannian manifolds. In this paper, we prove that if is a CMC pro…
math.DG2021
Triharmonic CMC hypersurfaces in space forms with 4 distinct principal curvatures
Hang Chen, Zhida Guan
A triharmonic map is a critical point of the tri-energy in the space of smooth maps between two Riemannian manifolds. In this paper, we prove that if is a CMC proper…
math.DG2020
Four dimensional biharmonic hypersurfaces in nonzero space form have constant mean curvature
Zhida Guan, Haizhong Li, Luc Vrancken
In this paper, through making careful analysis of Gauss and Codazzi equations, we prove that four dimensional biharmonic hypersurfaces in nonzero space form have constant mean curv…