Problems related to isoparametric theory

2019/10/27 by Jianquan Ge, Ge, Jianquan · 1 citation
Mathematics · #Analytic and geometric function theory #Functional Equations Stability Results #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1910.12229

Abstract

In this note we briefly survey and propose some open problems related to isoparametric theory.

Citations

• Chern conjecture and isoparametric hypersurfaces
• Serrin’s result for hyperbolic space and sphere
• A symmetry problem in potential theory

Cited by

• A lower bound for L₂ length of second fundamental form on minimal hypersurfaces

Related

• Isoparametric theory and its applications
• Recent progress in isoparametric functions and isoparametric hypersurfaces
• Chern conjecture and isoparametric hypersurfaces
• Isoparametric hypersurfaces and their application to special geometries
• The Isoparametric Story, a Heritage of Élie Cartan