Related papers: Microlocalization and nonexistence of $C^2$ Levi-f…
The paper was removed.
We prove the non-existence of real analytic Levi flat hypersurface whose complement is 1-convex and Levi foliation is transversely affine in compact Kahler surfaces.
This paper has been withdrawn by the author due to a crucial sign error in equation (5).
This paper has been withdrawn as the statements in Proposition 4.4 and Theorem 1.4(i) are not correct.
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
Paper withdrawn due to error.
This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.
Paper is withdrawn and superseded by EFI-94-36 which will appear shortly with the new hep-th number hep-th/9407111 .
We study the singular set of a singular Levi-flat real-analytic hypersurface. We prove that the singular set of such a hypersurface is Levi-flat in the appropriate sense. We also show that if the singular set is small enough, then the…
This paper has been withdrawn by the author due to a crucial error in equation (51).
We define a complex connection on a real hypersurface of $\C^{n+1}$ which is naturally inherited from the ambient space. Using a system of Codazzi-type equations, we classify connected real hypersurfaces in $\C^{n+1}$, $n\ge 2$, which are…
Major mistake. The paper has been withdrawn.
This paper is withdrawn. We found a mistake in Lemma 4.1
We construct a real analytic Levi-flat hypersurface M in a neighborhood of an ellipsoid B in C^2 such that the each leaf of the Levi foliation of M is a complex disc, M intersects the boundary of B transversely, and the intersection A of M…
The Chern-Moser normal form and its analog on finite type hypersurfaces in general do not respect symmetries. Extending the work of N. K. Stanton, we consider the local equivalence problem for symmetric Levi degenerate hypersurfaces of…
%auto-ignore This paper has been withdrawn by the author(s) because somebody do not agree with my idea.
A local uniqueness property of holomorphic functions on real-analytic nowhere minimal CR submanifolds of higher codimension is investigated. A sufficient condition called almost minimality is given and studied. A weaker necessary condition,…
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.
This paper has been withdrawn by the authors, due a crucial error in Sec. 3.