Related papers: Optimality of the Heisenberg limit for continuous-…

This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

This paper has been withdrawn by the author.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This paper has been withdrawn by the author.

This paper has been withdrawn by the author

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn to allow publication elsewhere.

The paper has been withdrawn due to numerical error.

This paper has been withdrawn by the authors; the main conclusion is incorrect, as some of the crucial calculations were not properly converged.

This paper has been withdrawn by the author due to a crucial error in the force equation.

This paper has been withdrawn by the author due to an error in the data-analysis.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn, as all conjectures (and one claim) have been proven incorrect. Some of what remains may eventually reappear in a different context.

The paper was withdrawn by the author.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

This paper has been withdrawn by author due to an error in the proof.

This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.

This paper has been withdrawn because the first author submitted the paper without previously consulting the rest of the authors.

The paper was withdrawn because of its significant overlap with a paper appeared recently.

This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.

This paper has been withdrawn by the authors, due to the discovery of paper 0201028 which predates it and contains most of it's results.