Related papers: G2 manifolds of cohomogeneity two
This paper has been withdrawn by the authors, because the authors have second thought that the new ideas in this paper are better to be contained in another paper.
This paper has been withdrawn by the author due to some error in the result
This paper has been withdrawn by the author, due to errors in the figures.
This paper has been withdrawn by the author due to errors.
This paper has been withdrawn by the author due to a crucial argument error at p.10.
This paper has been withdrawn by the author due to essential mistakes in some previous versions.
This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2
This paper has been withdrawn, because the argument for generation of Goldstone modes is incorrect.
This paper was withdrawn by the author due to an error in the proof of the main result; essentially the parameter R used in the proof may depend on the manifold (M, g), not just on dimension and pinching constant.
The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.
This paper has been withdrawn by the author, due an error in computing the invariance of the so(4,1) and so(3,2) "inner product."
This paper has been withdrawn by the author due to similarity to Author's other paper
This paper has been withdrawn by the author due to the unsuitable content.
This article is withdrawn because of a mistake in the main result of the paper.
This paper has been withdrawn by the author due to a crucial sign error.
This paper has been withdrawn due to uncertainties regarding the correctness of the pseudopotential based G0W0 band structure.
This paper has been withdrawn by the author due to a crucial error in equation.
This paper has been withdrawn by the author due to the unsure solution to the Dyson-Schwinger equation.
This paper has been withdrawn by the authors due to a crucial gap in the estimates for m>=4.
This paper has been withdrawn by the author due to a crucial error in the formulation.