3 papers
math.DG2026
Biharmonic hypersurfaces in space forms
Yu Fu, Min-Chun Hong, Dan Yang
We prove that every biharmonic hypersurface in a space form of nonpositive sectional curvature is minimal in arbitrary dimension. This settles the hypersurface case of the generali…
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.DG2017
Minimal surfaces in a unit sphere pinched by intrinsic curvature and normal curvature
Dan Yang
We establish a nice orthonormal frame field on a closed surface minimally immersed in a unit sphere , under which the shape operators take very simple forms. Using this fram…