English

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

Complex Variables 2015-10-01 v1

Abstract

Recently, I. Kossovskiy and R. Shafikov have settled the so-called Dimension Conjecture, which characterizes spherical hypersurfaces in C2{\mathbb C}^2 via the dimension of the algebra of infinitesimal automorphisms. In this note, we propose a short argument for obtaining their result.

Keywords

Cite

@article{arxiv.1509.09139,
  title  = {A short proof of the Dimension Conjecture for real hypersurfaces in ${\mathbb C}^2$},
  author = {Alexander Isaev and Boris Kruglikov},
  journal= {arXiv preprint arXiv:1509.09139},
  year   = {2015}
}