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math.DG2023
A Sharp Inequality for Trace-Free Matrices with Applications to Hypersurfaces
Jeffrey S. Case, Aaron J. Tyrrell
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…
math.DG2023
A Rigidity Result for Minimal Rotation Hypersurfaces of 5D Spaces of Constant Curvature
Aaron J. Tyrrell
In this paper we show that a particular extrinsic pointwise hypersurface invariant is always non-positive on minimal hypersurfaces of constant curvature spaces and vanishes identic…