Conjecture 9.1 . [01ZZ]

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Conjecture 9.1.

There exists $C=C(n,{\rm v})>0$ such that if $M^{n}$ satisfies $|{\rm Ric}_{M^{n}}|\leq n-1$ and ${\rm Vol}(B_{1}(p))>{\rm v}>0$ , then

\displaystyle\fint_{B_{1}(p)}|{\rm Rm}|^{2}\leq C\,.

(9.1)