Levi flat hypersurfaces which are not holomorphically flat
Levi flat hypersurfaces which are not holomorphically flat
A real analytic, Levi flat hypersurface $S \subset {{\mathbf {C}}^n}$ is locally biholomorphically flat. It is shown here that if $S$ is Levi flat and ${C^\infty }$, then in general it is not possible to flatten $S$, even in a local, "one-sided" sense.