Lewy hypersurface

The real hypersurface in (z1,,zn)n given by


is called the Lewy hypersurface. Note that this is a real hypersurface of real dimension 2n-1. This is an example of a non-trivial real hypersurface in complex space. For example it is not biholomorphically equivalent to the hyperplaneMathworldPlanetmath defined by Imzn=0, but it is locally (not globally) biholomorphically equivalent to a unit sphereMathworldPlanetmath.


  • 1 M. Salah Baouendi, Peter Ebenfelt, Linda Preiss Rothschild. , Princeton University Press, Princeton, New Jersey, 1999.
Title Lewy hypersurface
Canonical name LewyHypersurface
Date of creation 2013-03-22 14:49:01
Last modified on 2013-03-22 14:49:01
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 4
Author jirka (4157)
Entry type Example
Classification msc 32V99