Stability Inequalities for Lawson Cones

TL;DR

This paper establishes stability inequalities for specific Lawson cones, extending previous results to all area-minimizing cases, which enhances understanding of their geometric stability properties.

Contribution

It generalizes stability inequalities to all area-minimizing Lawson cones, broadening the scope of prior stability results.

Findings

Proves stability inequalities for selected Lawson cones.

Extends stability results to all area-minimizing Lawson cones.

Enhances understanding of geometric stability of minimal cones.

Abstract

We prove stability inequalities for Lawson cones $M_{kh}$ with $$(k,h),(h,k)\in\{(3,5),(2,7),(2,8),(2,9),(2,10),(2,11)\}.$$ This extends the results of G. De. Philippis and F. Maggi to all area-minimizing Lawson cones.