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- W1998134906 abstract "In three-dimensional Euclidean space, Scherk second surfaces are singly periodic embedded minimal surfaces with four planar ends. In this paper, we obtain a natural generalization of these minimal surfaces in any higher-dimensional Euclidean space Rn+1, for n⩾3. More precisely, we show that there exist (n−1)-periodic embedded minimal hypersurfaces with four hyperplanar ends. The moduli space of these hypersurfaces forms a one-dimensional fibration over the moduli space of flat tori in Rn−1. A partial description of the boundary of this moduli space is also given." @default.
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- W1998134906 date "2002-01-01" @default.
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- W1998134906 title "Higher-dimensional Scherk's hypersurfaces" @default.
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- W1998134906 doi "https://doi.org/10.1016/s0021-7824(01)01233-8" @default.
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