A short proof of the Dimension Conjecture for real hypersurfaces in $\mathbb {C}^2$
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- by Alexander Isaev and Boris Kruglikov PDF
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Abstract:
Recently, I. Kossovskiy and R. Shafikov settled the so-called Dimension Conjecture, which characterizes spherical hypersurfaces in $\mathbb {C}^2$ via the dimension of the algebra of infinitesimal CR-automorphisms. In this note, we propose a short argument for obtaining their result.References
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Additional Information
- Alexander Isaev
- Affiliation: Mathematical Sciences Institute, Australian National University, Acton, Australian Capital Territory 2601, Australia
- MR Author ID: 241631
- Email: alexander.isaev@anu.edu.au
- Boris Kruglikov
- Affiliation: Department of Mathematics and Statistics, University of Tromsø, Tromsø 90-37, Norway
- Email: boris.kruglikov@uit.no
- Received by editor(s): October 8, 2015
- Received by editor(s) in revised form: December 20, 2015
- Published electronically: April 19, 2016
- Additional Notes: The first author was supported by the Australian Research Council
- Communicated by: Franc Forstneric
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4395-4399
- MSC (2010): Primary 32C05, 32V40
- DOI: https://doi.org/10.1090/proc/13070
- MathSciNet review: 3531189