Construction of conjugate functions

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We find all pairs of real analytic functions $f$ and $g$ in $\bbR^n$ such that $|\nabla f|=|\nabla g|$ and $(\nabla f)(\nabla g)=0$.

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/112954

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605745
 http://arxiv.org/abs/math/0605745

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arXiv