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On Lawson’s area-minimizing hypercones
Authors:Yong Sheng Zhang
Institution:School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China
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.
Keywords:Area-minimizing hypercone  coflat calibration  comass  
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