A short proof of the dimension conjecture for real hypersurfaces in ℂ2

Alexander Isaev; Boris Kruglikov

doi:10.1090/proc/13070

A short proof of the dimension conjecture for real hypersurfaces in ℂ²

Alexander Isaev, Boris Kruglikov

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	4395-4399
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	10
DOIs	https://doi.org/10.1090/proc/13070
Publication status	Published - Oct 2016

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title = "A short proof of the dimension conjecture for real hypersurfaces in ℂ2",

abstract = "Recently, I. Kossovskiy and R. Shafikov settled the so-called Dimension Conjecture, which characterizes spherical hypersurfaces in ℂ2 via the dimension of the algebra of infinitesimal CR-automorphisms. In this note, we propose a short argument for obtaining their result.",

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AB - Recently, I. Kossovskiy and R. Shafikov settled the so-called Dimension Conjecture, which characterizes spherical hypersurfaces in ℂ2 via the dimension of the algebra of infinitesimal CR-automorphisms. In this note, we propose a short argument for obtaining their result.

KW - Lie algebras of infinitesimal CR-automorphisms

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A short proof of the dimension conjecture for real hypersurfaces in ℂ²

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