On the real-analyticity of rigid spherical hypersurfaces in ${\mathbb C}^2$

Alexander Isaev; Joël Merker

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arXiv · 1903.01174

On the real-analyticity of rigid spherical hypersurfaces in ${\mathbb C}^2$

Alexander Isaev·Joël Merker

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Abstract

We prove that every smooth rigid spherical hypersurface in ${\mathbb C}^2$ is in fact real-analytic. As an application of this result, it follows that the classification of real-analytic rigid spherical hypersurfaces in ${\mathbb C}^2$ found by V. Ezhov and G. Schmalz applies in the smooth case.

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Alexander Isaev, Joël Merker. 2019-03-04. On the real-analyticity of rigid spherical hypersurfaces in ${\mathbb C}^2$. https://arxiv.org/abs/1903.01174

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