A short proof of the Dimension Conjecture for real hypersurfaces in ${\mathbb C}^2$

Alexander Isaev; Boris Kruglikov

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arXiv · 1509.09139

A short proof of the Dimension Conjecture for real hypersurfaces in ${\mathbb C}^2$

Alexander Isaev·Boris Kruglikov

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Abstract

Recently, I. Kossovskiy and R. Shafikov have settled the so-called Dimension Conjecture, which characterizes spherical hypersurfaces in ${\mathbb C}^2$ via the dimension of the algebra of infinitesimal automorphisms. In this note, we propose a short argument for obtaining their result.

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Alexander Isaev, Boris Kruglikov. 2015-09-30. A short proof of the Dimension Conjecture for real hypersurfaces in ${\mathbb C}^2$. https://arxiv.org/abs/1509.09139

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