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This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

Spectral Theory · Mathematics 2007-05-23 Raphael Ponge

This paper has been withdrawn by the author due to errors and bad formalization.

Dynamical Systems · Mathematics 2012-12-17 Andrey Popescou

The paper is withdrawn. The proof has an error and it requires a different approach.

Dynamical Systems · Mathematics 2020-04-16 Robert Szalai

This paper has been withdrawn due to a crucial error in the proof of the main theorem

Algebraic Geometry · Mathematics 2007-05-23 Eriko Hironaka

This paper was withdrawn by the author due to an edition's rights

Logic · Mathematics 2007-05-23 Joseph Kouneiher

This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

Differential Geometry · Mathematics 2008-04-04 Corey A. Hoelscher

This paper has been withdrawn, since it contains a corollary with impossible consequences and the source of an error is currently unknown.

Functional Analysis · Mathematics 2008-05-28 Fernando Rambla , Jarno Talponen

This paper has been withdrawn by the author, due to an error in Proposition 2.2.

Differential Geometry · Mathematics 2007-05-23 Albert Borbely

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

Number Theory · Mathematics 2007-08-29 Ping-Shun Chan

The paper is withdrawn.

Dynamical Systems · Mathematics 2007-05-23 Leonid Polterovich , Mikhail Sodin

This paper has been withdrawn by the author due to a crucial citing error in equation 4.

Materials Science · Physics 2009-11-13 Hong-Jian Feng

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

Classical Analysis and ODEs · Mathematics 2007-06-26 Mark Losik , Peter W. Michor , Armin Rainer

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

Geometric Topology · Mathematics 2009-01-26 Chan-Ho Suh

This paper has been withdrawn by the author due to a crucial mistakes.

Mathematical Physics · Physics 2007-08-20 Saifullah

This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.

Symplectic Geometry · Mathematics 2009-01-04 Eaman Eftekhary

There are several serious errors in this paper. I thought to have time to fix it, but it did not occur for years. So I withdraw this paper.

Representation Theory · Mathematics 2011-09-21 Syu Kato

This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.

General Mathematics · Mathematics 2010-11-22 Yiping Yu

This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.

Mathematical Physics · Physics 2007-05-23 Z. C. Tu

This paper has been withdrawn due to disagreement of suggested results and methods between authors.

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexei M. Frolov , Farrukh A. Chishtie

This paper has been withdrawn due to an error. We plan to replace it with a corrected version.

Strongly Correlated Electrons · Physics 2007-05-23 Laura Filion , Catherine Kallin , A. John Berlinsky , Eric Mills