Related papers: Microlocalization and nonexistence of $C^2$ Levi-f…

Let M be a connected real-analytic hypersurface in two dimensional complex space, $\mathbb C^2$, containing a connected complex hypersurface E, and let f be a smooth CR mapping sending M into another real-analytic hypersurface M' in…

The paper was withdrawn by the author. It contained various errors.

This paper has been withdrawn by the author due to an error in the computation of the central charge.

We construct complete normal forms for $5$-dimensional real hypersurfaces in $\mathbb C^3$ which are $2$-nondegenerate and also of Levi non-uniform rank zero at the origin point ${\bf p} =0$. The latter condition means that the rank of the…

This paper has been withdrawn by the authors due to some fatal errors in the analysis.

The classifications of locally strongly convex equiaffine hypersurfaces (resp. centroaffine hypersurfaces) with parallel Fubini-Pick form with respect to the Levi-Civita connection of the Blaschke-Berwald affine metric (resp. centroaffine…

This paper was withdrawn by the author because severe errors were discovered.

This paper has been withdrawn by the author due to a crucial error in the submission action.

This paper has been withdrawn by the author due to a coming paper completely superseding it.

This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

This paper has been withdrawn by the author due to the error in figure 2, we did not optimized c-value of the supercell, so the results can not give the true physics of this material.

The paper has been withdrawn by the author due to a the manuscript error.

This paper has been withdrawn because the part concerning the definition of global hyperbolicity has already been included in an expanded and clearer way in gr-qc/0611138. The remainder will be also extended and posted.

This paper has been withdrawn by the authors, due to issues concerning the use of unpublished experimental data.

We first give a deformation theory of integrable distributions of codimension 1. We define a parametrization of families of smooth hypersurfaces near a Levi flat hypersurface L such that the Levi flat deformations are given by the solutions…

This paper is withdrawn because of an error in Lemma 3.1

The paper has been withdrawn

This paper has been withdrawn by the author because overcame by arXiv:0910.4694

This paper has been withdrawn by the author due to journal requirement.

This paper has been withdrawn.