AREA ESTIMATES FOR HIGH GENUS LAWSON SURFACES VIA DPW
Résumé
Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces ξ m,k of high genus by deforming the corresponding DPW potential. As a byproduct, we obtain for fixed m estimates on the area of ξ m,k in terms of their genus g = mk 1.
Domaines
Géométrie différentielle [math.DG]
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