Reference
R.Bishop and R.Crittenden, Geometry of Manifolds. New York 1964.
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I wish to thank J.Simons for suggesting this problem.
National Science Foundation Postdoctoral Fellow.
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Cheeger, J. The relation between the laplacian and the diameter for manifolds of non-negative curvature. Arch. Math 19, 558–560 (1968). https://doi.org/10.1007/BF01898781
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DOI: https://doi.org/10.1007/BF01898781