Biharmonic tori in spheres
classification
🧮 math.DG
keywords
toriimmersionsproper-biharmonicspheresadmitbiharmoniccertainconditions
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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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