On Lawson.s area-minimizing hypercones

Authors
Zhang, Yong Sheng
Citation
Zhang, Yong Sheng, On Lawson.s area-minimizing hypercones, Acta mathematica Sinica. English series (Print) , 32(12), 2016, pp. 1465-1476
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
12
Year of publication
2016
Pages
1465 - 1476
Database
ACNP
SICI code
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.