New area-minimizing Lawson-Osserman cones
Differential Geometry
2018-04-06 v2
Abstract
It has been 40 years since Lawson and Osserman introduced the three minimal cones associated with Dirichlet problems in their 1977 Acta paper [LO77]. The first cone was shown area-minimizing by Harvey and Lawson in the celebrated paper [HL82]. In this paper, we confirm that the other two are also area-minimizing. In fact, we show that every Lawson-Osserman cone of type (n, p, 2) constructed in [XYZ] is area-minimizing.
Cite
@article{arxiv.1610.08208,
title = {New area-minimizing Lawson-Osserman cones},
author = {Xiaowei Xu and Ling Yang and Yongsheng Zhang},
journal= {arXiv preprint arXiv:1610.08208},
year = {2018}
}