Minimal hypersurfaces asymptotic to Simons cones

2014/07/31 by Laurent Mazet
Mathematics · #math.DG

paper · pdf · doi:10.1017/s1474748015000110

arxiv created 2015/03/17 · arxiv updated 2015/04/08

Abstract

In this paper, we prove that, up to similarity, there are only two minimal hypersurfaces in ℝⁿ⁺² that are asymptotic to a Simons cone, i.e. the minimal cone over the minimal hypersurface √(\frac pn)\mathbbS^p× √\fracn-pn \mathbbS^n-p of \mathbbSⁿ⁺¹

Cited by

• Calabi-Yau Conjecture for Minimal Hypersurfaces in ℝ⁴ with bounded geometry