Theorem 5.1 ( ( n − 2 ) -Symmetric Limits) . [01YI]

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Theorem 5.1 ( $(n-2)$ -Symmetric Limits).

Let $(M^{n}_{j},g_{j},p_{j})$ be a sequence of Riemannian manifolds satisfying $|{\rm Ric}_{M^{n}_{j}}|\to 0$ , ${\rm Vol}(B_{1}(p_{j}))>{\rm v}>0$ and such that

\displaystyle(M_{j}^{n},d_{j},p_{j})\stackrel{{\scriptstyle d_{GH}}}{{\longrightarrow}}\mathds{R}^{n-2}\times C(S^{1}_{\beta})\,.

(5.2)

Then $\beta=2\pi$ and $\mathds{R}^{n-2}\times C(S^{1}_{\beta})=\mathds{R}^{n}$ .

Theorem 5.1 ( ( n − 2 ) -Symmetric Limits) . [01YI]

Theorem 5.1 ((n−2)(n-2)-Symmetric Limits).

Theorem 5.1 ( $(n-2)$ -Symmetric Limits).