Related papers: Microlocalization and nonexistence of $C^2$ Levi-f…
This paper has been withdrawn by the author, due to a significant error in section 4.3.1.
This paper has been withdrawn by the author(s), due a crucial sign error in conclusion .
This paper has been withdrawn due to a crucial error in the proof of the main theorem
withdrawed due to a substantial error.
In this paper, we study locally strongly convex centroaffine hypersurfaces with parallel cubic form with respect to the Levi-Civita connection of the centroaffine metric. As the main result, we obtain a complete classification of such…
This paper has been withdrawn by the author due to a crucial sign error in equation 1
We construct normal forms for Levi degenerate hypersurfaces of finite type in $\mathbb C^2$. As one consequence, an explicit solution to the problem of local biholomorphic equivalence is obtained. Another consequence determines the…
This paper has been withdrawn by the authors due to a crucial gap in the estimates for m>=4.
This paper has been withdrawn by the author due to the fact that the negative sign of the exponent of $R$ in (2.20) is not allowed by the second inequality of (2.2), and thus the desired vanishing in (2.20) could not be obtained by this…
This paper has been withdrawn in order to replace it by two separate submissions: 1. Hamiltonian 2-forms in Kahler geometry III: Extremal metrics and stability, math.DG/0511118; 2. Hamiltonian 2-forms in Kahler geometry IV: Weakly…
The paper has been withdrawn by the author, due to a critical error stemming from the defined template.
We develope in great computational details the classical Cartan equivalence problem for Levi-nondegenerate C^6-smooth real hypersurfaces M^3 in C^2, performing all calculations effectively in terms of a (local) graphing function \varphi. In…
We study nonlinear automorphisms of Levi degenerate hypersurfaces of finite multitype. By recent results of Kolar, Meylan and Zaitsev, the Lie algebra of infinitesimal CR automorphisms may contain a graded component consisting of nonlinear…
This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.
This paper has been withdrawn by the author due to a crucial sign error.
We continue our study, initiated in an earlier article, of a class of rigid hypersurfaces in ${\mathbb C}^3$ that are 2-nondegenerate and uniformly Levi degenerate of rank 1, having zero CR-curvature. We drop the restrictive assumptions of…
This paper contains a detailed, self contained and more streamlined proof of our $l^2$ decoupling theorem for hypersurfaces.
This paper has been withdrawn by the author due to crucial sign error in Lemma 8.1.
This paper has been withdrawn
This paper has been withdrawn by the author due to a crucial problem associated with Figs. 2 and 3.