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A theorem of Archimedes about spheres and cylinders and two-point homogeneous spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
Starting from the well-known classical theorem of Archimedes about the volumes of spheres and circumscribing cylinders in three-dimensional Euclidean space, one considers circumscribing tubes of small geodesic spheres in general Riemannian manifolds and one derives new characterisations of two-point homogeneous spaces from it.
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- Copyright © Australian Mathematical Society 1991
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