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arXiv · 1610.04976

Biharmonic tori in spheres

Dorel Fetcu·Eric Loubeau·Cezar Oniciuc
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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 $\mathbb{S}^n$, as well as the explicit expressions of some of these immersions.

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Dorel Fetcu, Eric Loubeau, Cezar Oniciuc. 2016-10-17. Biharmonic tori in spheres. https://arxiv.org/abs/1610.04976

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