Biharmonic tori in spheres

2016/10/17 by Fetcu, Dorel, Loubeau, Eric, Oniciuc, Cezar
#11D09 #53A10 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.04976

Abstract

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 \mathbbSⁿ, as well as the explicit expressions of some of these immersions.

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