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arXiv · 1501.04681

On Lawson's area-minimizing hypercones

Yongsheng Zhang
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Abstract

We show the area-minimality property of all homogeneous area-minimizing hypercones in Euclidean spaces (classified by Lawlor) following Lawson's original idea in his 72' Trans. A.M.S. paper "The equivariant Plateau problem and interior regularity". Moreover, each of them enjoys (coflat) calibrations singular only at the origin.

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BibTeXRIS

Yongsheng Zhang. 2016-12-12. On Lawson's area-minimizing hypercones. https://doi.org/10.1007/s10114-016-5643-8

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