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arXiv · 2203.04082

A concise formula for the Hessian determinant of a function parameterising a quadratic hypersurface

Bartłomiej Zawalski
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Abstract

We will give a concise formula for the Hessian determinant of a smooth function $y:\mathbb R^n\supseteq\Omega\to\mathbb R$ such that its graph is contained in a quadratic hypersurface. The proof will make heavy use of matrix algebra.

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Bartłomiej Zawalski. 2022-02-16. A concise formula for the Hessian determinant of a function parameterising a quadratic hypersurface. https://arxiv.org/abs/2203.04082

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