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1. We denote by V a connected ^-dimensional complete Riemannian manifold, by d = d (V) the diameter of V, and by c + = c + (V) and c ~ = c~ (V), respectively, the upper and lower bounds of the sectional curvature of V. We set c = c (V) = max (| c + 1, | c ~ |).
M. Gromov (Sun,) studied this question.
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