摘要
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.
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.
基金
Partially supported by the Fundamental Research Funds for the Central Universities,the SRF for ROCS,SEM,NSFC(Grant Nos.11526048,11601071)
the NSF(Grant No.0932078 000) while the author was in residence at the MSRI during the 2013 Fall
