  We give a new proof of the Gromov theorem: For any $C>0$ and integer $n>1$
there exists a function $\Delta_{C,n}$ such that if the Gromov--Hausdorff
distance between complete Riemannian $n$-manifolds $V$ and $W$ is not greater
than $\delta$, absolute values of their sectional curvatures $|K_{\sigma}|\leq
C$, and their injectivity radii $\geq 1/C$, then the Lipschitz distance between
$V$ and $W$ is less than $\Delta_{C,n}(\delta)$ and $\Delta_{C,n}\to 0$ as
$\delta\to 0$.

Differential Geometry;Metric Geometry