Related papers: On the total absolute curvature of sphere eversion…

This paper has been withdrawn by the author due to an error in the derivation.

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

This paper has been withdrawn by the author due to a crucial error in equation.

This paper has been withdrawn by the author due to a crucial errors.

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Paper withdrawn by the author.

This paper has been withdrawn by the author due to serious error found in main argument.

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.

This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.

This paper has been withdrawn by the author due to errors and bad formalization.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.1.

This paper has been withdrawn by the author due to a error in attachment of source file.

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

This paper has been withdrawn by the author(s)

This paper has been withdrawn by the author due to a crucial error in the submission action.

This paper has been withdrawn by the author due to an error.