English

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

Complex Variables 2019-03-05 v1 Differential Geometry

Abstract

We prove that every smooth rigid spherical hypersurface in C2{\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 C2{\mathbb C}^2 found by V. Ezhov and G. Schmalz applies in the smooth case.

Keywords

Cite

@article{arxiv.1903.01174,
  title  = {On the real-analyticity of rigid spherical hypersurfaces in ${\mathbb C}^2$},
  author = {Alexander Isaev and Joël Merker},
  journal= {arXiv preprint arXiv:1903.01174},
  year   = {2019}
}