Abstract
We derive a sharp inequality relating the second and fourth elementary symmetric functions of the eigenvalues of a trace-free matrix and give two applications. First, we give a new proof of the classification of conformally flat hypersurfaces in spaceforms. Second, we construct a functional which characterizes rotational hypersurfaces and catenoids.
Original language | English (US) |
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Pages (from-to) | 823-828 |
Number of pages | 6 |
Journal | Proceedings of the American Mathematical Society |
Volume | 152 |
Issue number | 2 |
DOIs | |
State | Published - Feb 1 2024 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics