A SHARP INEQUALITY FOR TRACE-FREE MATRICES WITH APPLICATIONS TO HYPERSURFACES

Jeffrey S. Case; Aaron J. Tyrrell

doi:10.1090/proc/16657

A SHARP INEQUALITY FOR TRACE-FREE MATRICES WITH APPLICATIONS TO HYPERSURFACES

Jeffrey S. Case
, Aaron J. Tyrrell

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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)
Pages (from-to)	823-828
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	152
Issue number	2
DOIs	https://doi.org/10.1090/proc/16657
State	Published - Feb 1 2024

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "A SHARP INEQUALITY FOR TRACE-FREE MATRICES WITH APPLICATIONS TO HYPERSURFACES",

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.",

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AU - Tyrrell, Aaron J.

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85181936498

UR - https://www.scopus.com/pages/publications/85181936498#tab=citedBy

U2 - 10.1090/proc/16657

DO - 10.1090/proc/16657

M3 - Article

AN - SCOPUS:85181936498

SN - 0002-9939

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SP - 823

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

A SHARP INEQUALITY FOR TRACE-FREE MATRICES WITH APPLICATIONS TO HYPERSURFACES

Abstract

All Science Journal Classification (ASJC) codes

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