A family of area-minimizing tensor varieties

Hongbin Cui

A family of area-minimizing tensor varieties

Differential Geometry 2026-07-11 v1

Authors: Hongbin Cui

Abstract

By using Lawlor's curvature criterion, we prove that a class of real tensor varieties are regular area-minimizing cones except for one case, which gives a partial generalization of their minimality as in \cite{HKV23}. Such area-minimizing tensor varieties have not been found beyond matrix varieties. Moreover, we provide a new derivation for the important Lawlor ODE.

Keywords

area-minimizing cones tensor varieties Lawlor curvature criterion Lawlor ODE calibrated geometry

Cite

@article{arxiv.2607.10157,
  title  = {A family of area-minimizing tensor varieties},
  author = {Hongbin Cui},
  journal= {arXiv preprint arXiv:2607.10157},
  year   = {2026}
}

Comments

To appear in Proceedings of the AMS