Related papers: Geometric Auslander criterion for flatness

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This paper has been withdrawn by the author due to incomplete interpretation for the results.

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This paper has been withdrawn by the author due to a crucial error in the formulation.

The paper has been withdrawn by the author.

This paper has been withdrawn due to a crucial error in the proof of the main theorem

This paper has been withdrawn due to a missing hypothesis in the main statement.

withdrawn for revision

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This paper has been withdrawn by the auther due to an error

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Paper has been withdrawn for major repairs.

Some mistaken reasonings at the end of the paper omitted.

This paper has been withdrawn by the author, due to errors in the figures.

Withdrawn due to extensions and submission as another paper.

The paper has been withdrawn by the author due to unhappy mistake in the initial scope of the work.

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.

This paper has been withdrawn by the author due to a crucial sign error in equation which we use from Ref. 7 that is incorrect. In particular, Eq.(1-8) is not the correct equation from the variation of N. See, for example, Eq.(6) in PRD93,…

This paper has been withdrawn by the author because overcame by arXiv:0910.4694