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arXiv · 1306.3483

On the realization problem of plane real algebraic curves as Hessian curves

Angelito Camacho Calderón·Adriana Ortiz Rodríguez
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Abstract

The Hessian Topology is a subject having interesting relations with several areas, for instance, differential geometry, implicit differential equations, analysis and singularity theory. In this article we study the problem of realization of a real plane curve as the Hessian curve of a smooth function. The plane curves we consider are constituted either by only outer ovals or inner ovals. We prove that some of such curves are realizable as Hessian curves.

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Angelito Camacho Calderón, Adriana Ortiz Rodríguez. 2013-06-14. On the realization problem of plane real algebraic curves as Hessian curves. https://arxiv.org/abs/1306.3483

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