Biharmonic tori in spheres

摘要

We consider proper-biharmonic flat tori with constant mean curvature (CMC) in spheres and find necessary and sufficient conditions for certain rectangular tori and square tori to admit full CMC proper-biharmonic immersions in S-n, as well as the explicit expressions of some of these immersions. (C) 2017 Elsevier B.V. All rights reserved.