2 papers
math.DG2026
Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces
Zhenhua Liu
We prove that area-minimizing submanifolds in mod homology are not generically smooth, except in the case of geodesics, minimal surfaces and minimal hypersurfaces. This settles…
math.DG2025
Area-minimizing submanifolds are not generically smooth
Zhenhua Liu
We prove that area-minimizing submanifolds are not generically smooth, settling a conjecture of White that asks the generic smoothness of area-minimizing submanifolds. We furthermo…