On Lawson's area-minimizing hypercones
Differential Geometry
2016-12-13 v4
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
Cite
@article{arxiv.1501.04681,
title = {On Lawson's area-minimizing hypercones},
author = {Yongsheng Zhang},
journal= {arXiv preprint arXiv:1501.04681},
year = {2016}
}
Comments
Improved final version, Acta Mathematica Sinica, English Series, Dec., 2016, Vol. 32